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Section: 7.1 Video Length: Solving by Substitution 4:02 Inconsistent Systems (Either parallel or same lines) 2:35 Solving Graphically (Setting up a "friendly" calculator window) 3:46 Finding Break-Even Points 1:54 Check Your Understanding Section: 7.2 Solving by Elimination 4:33 Determining Consistent and Inconsistent Systems 4:42 Creating a System of Equations from a Word Problem 4:40 Section: 7.3 Systems of Equations in Three Variables Systems of Three Variables in Row-Echelon Form (Gaussian Elimination) 1:12 Example of Gaussian Elimination 5:13 3-Variable Inconsistent Systems 5:02 3-Dimensional Coordinate Systems (part 1) 1:36 3-Dimensional Coordinate Systems (part 2) 1:27 3-Dimensional Coordinate Systems (part 3) 1:33 Finding Partial Decompositions of Rational Functions 3:40 Partial Fraction Decomposition-Distinct Linear Factors 4:57 Finding a QuadraticFrom ThreeNon-Colinear Points 4:09 Section: 7.4 Matrices and Systems of Equations How to Identify the Order of a Matrix 1:02 Write Augmentd and Coefficient Matrices 1:26 Matrices and Gaussian Elimination 5:00 Using Matrices to Solve Systems with Nonunique Solutions (part 1) 3:08 Using Matrices to Solve Systems with Nonunique Solutions (part 2) 2:16 Gauss-Jordan Elimination (Reduced Row Echelon Form) 4:57 Section: 7.5 Operations with Matrices Equatlity of Matrices 0:14 Add and Subtract Matrices 1:00 Multiply a Matrix by a Scalar 2:27 The Product of Two Matrices 4:29 Matrix Operations to Model and Solve Real-Life Problems 2:30 Check Your Understanding Section: 7.6 The Inverse of a Square Matrix Verify Two Matrices are Inverses of Each Other 2:10 Finding Inverse Matrices (Part 1) 3:57 Find Inverse Matrices (Part 2) 0:46 Check Your Understanding:: The Inverse of a Square Matrix Use Inverse Matrices to Solve System of Equations 6:11 Section: 7.7 The Determinant of a Square Matrix Determinant of a 2 x 2 Matrix 1:32 Evaluate Determinants 4:53 The Determinant of a Square Matrix (3 x 3 and larger) 2:45 Check Your Understanding: Determinants Finding the Determinant of a Triangular Matrix 2:08 Section: 7.8 Applications of Matrices and Determinants Area of a Triangle 2:48 Lines in a Plane 2:51 Solving Systems in 2 Variables with Cramer's Rule 3:52 Solving Systems in 3 Variables with Cramer's Rule 4:16 Cryptography (part 1) 4:21 Cryptography (part 2) 1:30
Section: 7.1
Video Length:
Section: 7.2
Section: 7.3 Systems of Equations in Three Variables
Section: 7.4 Matrices and Systems of Equations
Section: 7.5 Operations with Matrices