• #### 3x3 Determinants - Problem 2

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to determine the effect of interchanging two rows on the value of a determinant.
• #### Simplifying Determinants - Problem 2

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to compute a 3x3 determinant using row operations to simplify it first.
• #### 3x3 Determinants - Problem 1

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to compute the determinant of a 3x3 square matrix using minors by expanding along any row or column.
• #### Simplifying Determinants - Problem 3

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to compute a 4x4 determinant using row operations to simplify it first.
• #### Simplifying Determinants - Problem 1

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to compute a 3x3 determinant on [8 4 2; 3 9 3; -2 8 6] using row operations to simplify it first.
• #### 2x2 Determinants - Concept

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to compute the determinant of a 2x2 square matrix.
• #### Invertible Square Matrices and Determinants - Concept

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to determine whether a square matrix is invertible using its determinant.
• #### 3x3 Determinants - Concept

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to compute the determinant of a 3x3 square matrix using minors by expanding along the top row.
• #### 3x3 Determinants - Problem 3

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to determine the effect of a row's common factor on the value of a determinant.
• #### Area With Determinants - Concept

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to compute the area of a parallelogram using a determinant.
• #### Invertible Square Matrices and Determinants - Problem 1

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to show that a 3x3 matrix is not invertible by computing its determinant.
• #### Area With Determinants - Problem 1

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to compute the area of a triangle using a determinant.
• #### Simplifying Determinants - Concept

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to simplify determinants using three row (or column) operations.
• #### Invertible Square Matrices and Determinants - Problem 2

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to show that a 3x3 matrix, [2 5 3; -15 10 18; 20 50 30], is not invertible by computing its determinant.
• #### Area With Determinants - Problem 3

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to compute the area of an irregular quadrilateral using determinants.
• #### Area With Determinants - Problem 2

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to use the triangle area formula to test three points for collinearity.
• #### Cramer's Rule - Problem 2

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to solve a system of three linear equations with three unknowns using Cramer's rule and the TI-84 to compute determinants.
• #### Cramer's Rule - Problem 1

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to interpret the results when Cramer's rule fails to yield a solution.
• #### The Cross Product of Vectors - Concept

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to compute the cross product of two 3D vectors.
• #### Cramer's Rule - Concept

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to solve a system of two linear equations with two unknowns using Cramer's rule.