The Matrix Equation AX=b | Lonzo's Math Courses

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Math Essential Course

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Promo Video (10:11)

Algebra Linear Function Section

What Do Linear Function Look Like? (9:19)
Finding Slope Of Linear Line (13:03)
Quiz 2 (2:39)
How To Graph A Linear Function (14:19)
Part 2 Graphing Linear Function (5:13)
Quiz 3 (3:59)
Find The Equation Of A Linear Line (14:01)
Part 2 Of Finding Equation Of Linear Line (4:00)
Quiz 4 (5:43)
Parallel And Perpendicular Lines (10:48)
Part 2 Of Parallel And Perpendicular Lines (8:06)
Part 3 Of Parallel And Perpendicular Lines (9:36)
Quiz 5 (5:30)
Word Problems Related To Linear Function (12:31)
Part 2 Word Problems Related To Linear Function (8:47)
Quiz 6 (8:42)
Practice Problems Part 1 (8:14)
Practice Problems Part 2 (14:16)
Practice Problems Part 3 (19:46)

Algebra: Variation

Variation Word Problems (18:35)

Algebra: Solving Equations In Fraction And Non Fraction Form

Find Least Common Denominator (LCD) (14:12)
Part 2 Of Finding LCD (9:13)
Quiz On LCD (3:10)
Solving Equations In Non-Rational Form (11:44)
Part 2 Of Solving Equations In Non Rational Form (12:43)
Quiz: Solving Equations In Non Rational Form (5:22)
Solving For Equation Involving Fractions (14:00)
Part 2 Solving For Equation In Fraction Form (11:22)
Quiz: Solving Equations Involving Fraction (3:28)
More Solving Equations In Fraction Form (15:41)
Part 2 Of More Solving Equations In Fraction Form (21:55)
Quiz: More On Solving Equation In Fraction Form (11:24)

Algebra: Intro To Different Kind Of Graphs

Piecewise Function (18:54)
Part 2 Of Piecewise Function (12:57)
Quiz On Piecewise Function (4:01)
Square Root Graph With It's Translation, Reflection And Stretch (24:43)
Part 2 Of Square Root Graph (20:48)
Quiz On Square Root Graph (11:42)
Graphing Polynomial (21:06)
Part 2 Of Graphing Polynomial (17:50)
Graphing Rational Function (31:43)
Graphing Exponential Functions With It's Reflection, Shift, Stretch (26:40)
Quiz On Graphing Exponential Function (7:29)
Graphing Logarithmic Graph With It's Shift, Reflection, Stretch (35:45)
Quiz: Graphing Logarithmic Function (10:04)

Algebra: Test-Point Method

Test-Point Method (26:19)

Algebra Quadratic Function Section

Intro To Quadratic Graphs And Their Characteristics (10:56)
Graphing Quadratic Function In Vertex Form (16:06)
Part 2 Graphing Quadratic Function In Vertex Form (9:15)
Part 3 Graphing Quadratic Function In Vertex Form (14:27)
Quiz 2 (7:04)
Graphing Quadratic Function In Standard Form (18:42)
Part 2 Graphing Quadratic Function In Standard Form (12:18)
Quiz 3 (2:34)
Converting Standard Form To Vertex Form By Completing The Square (9:41)
Part 2 Of Converting Standard Form To Vertex Form By Completing The Square (14:26)
Quiz 4 Completing The Square (5:52)
Graphing Quadratic Function In X-Intercept Form (11:46)
Quiz 5 (7:30)
Word Problems Involving Quadratic Functions (22:15)
Part 2 Word Problems Involving Quadratic Functions (16:36)
Quiz 6 Word Problem Involving Quadratic Function (9:44)

Algebra Factoring Section

The Purpose Of Factoring (5:52)
Factoring when a=1 (14:51)
Quiz On Simple Factoring (2:29)
Factoring When a-value Is Greater Than 1 Bottom Up Factoring (11:52)
Quiz 2 On Bottom Up Factoring (3:09)
Factoring By Grouping (15:42)
Quiz 3 On Factoring By Grouping (2:15)
Finding Zeros By Quadratic Formula (15:47)
Quiz 4 Finding Zeros Using Quadratic Formula (3:39)
Factoring Using A Difference Of Two Square (7:28)
Part 2 Factoring Using Difference Of Two Squares (4:25)
Quiz 5: Factoring Using A Difference Of Two Squares (2:37)
Factoring A Difference Of Two Cubes (8:28)
Part 2 Of Factoring A Difference Of Two Cubes (5:15)
Quiz 6 On Factoring A Difference Of Two Cubes (2:14)
Factoring A sum Of Two Cubes (5:40)
Part 2 Factoring A Sum Of Two Cubes (4:05)
Quiz 7 Factoring Using A Sum Of Two Cubes (2:15)
Factoring Out Greatest Common Factor (11:55)
Part 2 Factoring Out Grestest Common Factor (9:30)
Quiz 8 Factoring Out Grestest Common Factor (3:06)
Factoring Using Rational Zero Theorem And Synthetic Division (12:59)
Part 2 Factoring Polynomial Using Rational Zero Theorem And Synthetic Division (10:21)
Part 3 Factoring Polynomial Using Rational Zero Theorem And Synthetic Division (13:42)
Quiz 9 Factor Polynomial Using Rational Zero Theorem And Synthetic Division (5:49)
Part 1 Practice Problem For Factoring (11:57)
Part 2 Practice Problem For Factoring (12:41)
Part 3 Practice Problem For Factoring (10:39)
Part 4 Practice Problem For Factoring (13:32)

Algebra Review (optional)

Scientific Notation (17:55)
Compound Fractions (18:19)
Rationalizing denominators and numerator (23:54)
Properties of exponents (38:30)
Factoring and foiling polynomials (39:56)
Complex numbers (49:18)
Quiz

Algebra: Equations and Inequalities

Linear equations in two variables (41:32)
Systems of linear equations and applications (31:23)
Linear Equations and applications (38:29)
Word problems involving linear equations (44:56)
Linear inequalities (23:18)
Absolute value in equations and inequalities (35:52)
Quiz

Algebra: Functions And Their Graphs

What is a function? (22:19)
One to one function and inverses (25:23)
How to graph a quadratic function (55:52)
Test-point method for solving quadratic(polynomial), and rational inequality (26:19)
Finding: domain, range, and increasing, decreasing, constant on a interval (41:03)
Families of functions,transformation, and symmetry (62:52)
Composition and Combination (16:55)

Algebra: Polynomial and Rational Functions

How to find a polynomial equation when given imaginary root (12:27)
How to graph a polynomial (41:39)
Graphing rational functions- oblique asymptote and hole in graph (55:48)
Graphing rational functions- (top heavy and bottom heavy) (31:42)

Algebra: Exponential and Logarithmic functions

Logarithmic functions (55:10)
Exponential functions (38:49)
More on logarithm and exponetial (38:43)
How to find an equation of an exponential function, when given the graph of an exponential function (8:27)
Quiz
Quiz
Commom log problems (lecture) (40:23)

Algebra: Partial Fraction Decomposition

Partial Fraction Decomposition (10:58)
Partial Fraction Decomposition With Repeating Linear Factors (13:34)
Partial Fraction Decomposition With A Nonrepeating Linear And Quadratic Factor (12:23)
Partial Fraction Decomposition With Repeating Quadratic Factor (16:26)

Algebra: Systems Of Equations And Inequalities

Systems of linear equations in two variables (27:28)
Systems of linear equations in three variables ex) 1 (33:11)
Graphing inequalities an systems of inequalities in two variables (47:10)
Cramer's Rule (27:45)

Algebra: Matrices and Determinants

Operations with matrices (41:07)
Multiplication of matrices (30:07)
Inverses of Matrices (39:16)

Algebra: Sequences, Series, and Probability

Intro to sequences (geometric & arithmetic) (39:08)
Summation of arithmetic and geometric sequences. (26:36)

College Algebra Practice Exams

College algebra practice exam on Ch.1 (58:44)
Part 2 of ch.1 college algebra practice exam (29:09)
Part 3 of ch.1 college algebra practice exam (18:15)
Part 4 of ch.1 college algebra practice exam (20:44)
Part 5 of ch.1 college algebra practice exam (17:37)
Ch.2 Practice Exam College Algebra (81:10)
Ch.3 Practice Test Part 1 (86:05)

Statistic Section

Central Tendency (67:55)

Trigonometry Section

Different Types Of Triangles (8:10)
Quiz 1: Different Types Of Triangles (19:37)
Right Triangles (22:15)
Part 2 Of Right Triangles (8:40)
Quiz: On Right Triangle (3:37)
Radian And Degree Meaure With Conversion (12:17)
Quiz: On Radian And Degree Conversion (2:49)
Six Trigonometry Functions And The Unit Circle (24:07)
Part 2 Of Six Trigonometric Function And The Unit Circle (20:13)
Special Right Triangles (15:33)
Part 2 Special Right Triangle (12:49)
Quiz: Unit Circle And The Six Trigonometric Functions (10:33)
Reference Angle (14:32)
Trigonometric Function Of Any Angle (19:51)
Part 2 Of Trigonometric Functions Of Any Angle (10:14)
Quiz On Trigonometric Functions Of Any Angle (4:27)
Fundamental Identities (36:31)
Verifying Trigonometric Identies (37:45)
Sum And Difference Formulas (34:30)
Double Angle And Half-Angle Identities (43:07)
Sine Graph Part 1 (18:12)
Part 2 Sine Graph (18:12)
Graphs Of Sine And Cosine Functions (56:50)
Graphing Tangent And Cotangent (33:23)
Inverse Trigonometric Functions (53:33)
Law Of Sines (30:20)
Law Of Cosine (49:28)
Polar Equations (26:26)
Powers And Roots Of Complex Numbers (30:32)
Trigonometric Form Of Complex Numbers (30:28)

Geometry Section

Points Lines And Planes (34:45)
Line Segment (55:39)
Angle Relationships (27:26)
Inductive Reasoning (29:09)
Area And Perimeter (23:39)
Chapter Test 1 (67:47)
Classifying Triangles (47:28)
Congruent Figures (22:16)
SSS, SAS Postulates (26:03)

Calculus 1 Limit Section

What Is A Limit? (4:02)
Limit Section: Does The Limit Exist? (20:27)
Limit Section: Intro To Limits (34:28)
Continuity And Limits (9:21)
4 Tpes Of Discontinuities (10:04)
Limit At Infinity (56:58)
Limit At Infinity And With Radicals (27:02)
Trig Limits (35:07)
Basic Limit Problems (28:07)
L'hopital Rule (13:50)
Limit Practice Problems Part 1 (31:27)

Calculus 1 Derivative Section

Deriving Using Definition Of Derivative (23:06)
Quiz On Deriving Using Definition Of Derivative (9:05)
Deriving Using Power Rule (15:26)
Quiz On Deriving Using Power Rule (4:17)
Deriving Using Product Rule (14:30)
Quiz On Product Rule (6:46)
Deriving Using Quotient Rule (19:47)
Quiz On Quotient Rule (8:11)
Deriving Using Chain Rule (23:21)
Part 2 Of Deriving Using Chain Rule (10:53)
Quiz On Chain Rule (6:04)
Implicit Differentiation (10:33)
Implicit Differentiation Part 2 (15:47)
Quiz On Implicit Differentiation (5:15)
Implicit Differentiation Twice (17:57)
Quiz: On Implicit Differentiation Twice (3:35)
Deriving Using Logarithmic Differentiation (15:47)
Part 2 Of Logarithmic Differentiation (9:22)
Quiz: On Logarithmic Differentiation (7:04)
Deriving Of Natural Exponential Function (9:40)
Part 2 Of Deriving Of Natural Exponential Function (11:56)
Quiz On Deriving Of Natural Exponential Function (8:43)
Derivatives Of Natural Logarithmic Function (8:43)
Part 2 Of Deriving Of Natural Logarithmic Function (6:24)
Quiz On Natural Logarithmic Function (4:33)
Deriving Inverse Trigonometric Function (21:40)
Part 2 Of Deriving Inverse Trigonometric Function (23:30)
Quiz On Deriving Inverse Trigonometric Function (3:17)

Calculus 1 Equation Of Tangent And Normal Line

Equation Of Tangent Line (17:53)
Part 2 Of Finding Equation Tangent And Normal To The Curve (27:28)
Quiz On Finding Equation Tangent And Normal To The Curve (6:11)

Calculus 1: Derivatives Using Charts

Derivatives Using Charts (24:57)
Ex)2: Finding Derivates Using Charts (12:11)
Ex) 3: Finding Derivates Using A Graph (6:14)

Calculus 1: Demand Function

Intro To Demand Function (10:15)
Ex)2 Demand Function (14:14)
Ex) 3 Demand Function (7:31)
Ex) 4 Demand Function (6:16)
Ex) 5 Demand Function (6:17)
Ex) 6 Demand Function (9:58)
Ex)7 Demand Function (10:29)
Ex) 8 Demand Function (12:38)
Ex 9) Demand Function (5:51)

Calculus 1 Related Rates

Related Rates (32:57)
Ex) 4 Related Rate Word Problem (15:51)
Ex) 5 Related Rate Word Problem (17:45)
Ex)6 Related Rate Word Problem (11:59)
Ex) 7 Related Rate Word Problem (12:45)
Ex)8 Related Rate Word Problem (13:57)
Quiz On Related Rate Word Problem (15:58)

Calculus 1 Optimization Word Problems

Intro To Optimization (13:15)
Ex)2 Optimization Word Problem (9:13)
Ex) 3 Optimization Word Problem (12:35)
Ex) 4 Optimization Word Problem (10:45)
Ex)5 Optimization Word Problem (10:01)
Ex)6 Optimization Word Problem (13:04)
Quiz On Optimization Word Problem (12:52)

Calculus 1 Average Rate Of Change

Average Rate Of Change (16:52)

Calculus 2

Riemann Sum Part 1 (30:29)
Riemann Sum Part 2 (40:45)
Riemann Sum Part 3 (50:47)
Sigma Notation (69:03)
Integration Rules (39:56)
Integration By U-Substitution(Simple Examples) (37:06)
U-Substitution(Medium-Hard Examples) (29:05)
Example 1 Of Harder Example Of U-Substitution (10:52)
Example 2 U-Substitution Of Harder Example (3:36)
Example 3 U-Substitution Of Harder Example (6:32)
Integral Of Exponential Function (44:12)
Trig Integrals (43:56)
Integrating Powers Of Sines And Cosines (19:45)
Quiz On Integrating Powers Of Sines And Cosines (7:04)
Integrating Powers Of Tangent And Secants (16:17)
Intro To Integration By Parts (9:14)
Integration By Parts Involving ln(x) (4:12)
Integration By Parts More Than Once (14:08)
Integration By Parts Tabular Method (10:55)
Integration By Parts For Definite Integral (10:03)
Integration By Parts With LIATE (9:06)
Quiz On Integration By Parts (11:14)
Integration By Trigonometric Substitution (21:26)
Ex 2 Of Integration By Trigonometric Substitution (14:43)
Ex) 3 Of Inegration By Trigonometric Substitution (20:03)
Ex) 4 Of Integration By Trigonometric Substitution (16:40)
Ex)5 Of Integration By Trigonometric Substitution With Completing The Square (13:16)
Ex) 6 Of Trigonometric Substitution Integration With Completing The Square (13:16)
Quiz: On Integration With Trigonometric Substitution (16:22)
Integration With Partial Fraction (19:01)
Integration Partial Fraction With Linear And Non Repeating Quadratic (25:07)
Partial Fraction Integration With Linear And Repeating Quadratic (22:54)
Partial Fraction Integration With Improper Rational Function And Synthetic Division (11:59)
Quiz On Partial Fraction Integration (15:10)
Fundamental Thoerem Of Calculus (66:41)
Practice Problems For Integration Part 1 (41:30)
Part 2 Of Integration Practice Problems (31:29)
Integral Test Part 3 (62:42)
Integral Test Part 4 (47:56)
Integral Test Part 5 (32:01)
Area Between Curves (69:06)
Quiz On Area Between Curves (15:39)
Volumes With Known Cross Sections (33:53)
Disk Method Part 1 (19:40)
Disk Method Part 2 (50:19)
Solids Of Revolution-Shell Method (68:29)
Separable Differential Equations (42:51)
More Difficult Separable Differential Equations (46:20)
Separable Differential Equation Example with Application Problem (5:08)
Quiz On Separable Differential Equation (6:16)
Linear Differential Equation (44:04)
Application Word Problem Involving Linear Differential Equation (14:56)
Quiz On First Order Linear Differential Equation (7:03)
Exponential Growth And Decay (37:49)
Euler's Method (29:03)
Logistic Differential Equations (13:53)
Polar Coordinates (41:17)
Polar Graphs (21:08)
Tangent Line In Polar Coordinates (37:12)
Area In Polar Coordinates (49:05)
Nth Term Test (6:44)
P-Series Test (4:35)
Intro Sequences And Series (4:35)
Geometric Series (16:37)
Limit Comparison Test (21:50)
Integral Test (21:53)
Telescoping Series (16:14)
Ratio Test (28:56)
Alternating Series Test (28:47)
Root Test (8:38)

Differential Equation Section

Ordinary Differential Equation Part 1 (35:16)
Part 2 Of Ordinary Differential Equation (27:48)
Differential Equation: Initial Value Problems (40:45)
Part 2 Of Initial Value Problems (27:55)
Quiz On Ordinary Differential Equation (32:53)
Separable Equations (58:36)
First Order Linear Differential Equation (72:43)
Solving Exact ODE (72:37)
Homogeneous Differential Equation (85:20)
Bernoulli Differential Equation (44:33)
Second Order Differential Equation, Real, Distinct Roots (41:21)
Complex Roots (52:03)
Wronskian (42:14)
Second Order Repeated Roots (75:38)
Second Order Undetermined Coefficients (69:34)

Linear Algebra Section

System Of Linear Equations (61:07)
Reduced Row Echelon Form (77:12)
Part 2 Of Reduced Row Echelon Form (43:00)
Vector Equations For Matrix Algebra (45:43)
Part 2 Of Vector Equation For Matrix Algebra (37:09)
The Matrix Equation AX=b (32:43)
Part 2 Of The Matrix Equation Ax=b (12:47)

ASVAB Math Section

ASVAB: Math Knowledge Exam 1 (40:03)
ASVAB: Math Knowledge Exam 2 (41:55)
ASVAB: Math Knowlege Exam 3 (35:01)
ASVAB: Math Knowlege Exam 4 (36:16)
ASVAB: Math Knowlege Exam 5 (32:23)
ASVAB: Math Knowlege Exam 6 (34:40)
ASVAB Arithmetic Reason Exam 2 (43:49)
ASVAB Arithmetic Reason Exam 3 (42:05)
ASVAB Arithmetic Reason Exam 4 (40:35)
ASVAB Arithmetic Reason Exam 5 (43:21)
ASVAB Arithmetic Reason Exam 6 (63:48)
Harder Examples Of ASVAB Math Problems (75:07)

IBEW/NJATC Math Portion

IBEW: Order Of Operations Introductory Test (34:06)
IBEW: Exponents Introductory Test (40:19)
IBEW: Principles Of Solving Equation (62:22)
IBEW: Solving Linear Equations (69:42)
IBEW: Literal Equations (59:43)
IBEW: Factoring Polynomials By Greatest Common Factor (GCF) (77:21)
IBEW: Linear Functions (48:15)
IBEW: Solving A System Of Linear Equations (60:34)
IBEW: Algebra And Function Practice Test Mode 1 (89:14)
Part 2 Of IBEW Practice Exam Practice Mode 1 (44:33)
IBEW: Algebra And Function Practice Mode 2 (102:39)
IBEW: Algebra And Functions Practice Test (Difficult Mode) (83:25)
IBEW: Algebra And Functions Practice Test 3 (32:39)
IBEW: Part 2 IBEW Algebra And Function Practice Test 3 (65:41)

Dosage Calculation

Dosage Calculation: 3 Techniques For Dosage Calculations (30:43)
Dosage Calculation: Converting Within Metric System (79:48)
Dosage Calculation: Converting Within The Household System (49:26)
Dosage Calculation: Converting Between Metric And House Hold (54:10)
Dosage Calculation: Converting Between Fahrenheit And Celsius (10:24)
Dosage Calculation: Converting Between Military And Standard Time (13:52)
Oral Medications: Tablets And Capsules (60:07)
Oral Medications: Liquid Medications (79:56)

Texas Success Initiative (TSI)

TSI Math Exam 1 (86:26)
TSI Math Exam 2 (107:06)

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The Matrix Equation AX=b

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