21 Videos for "square matrices"

Square Matrices  Problem 3
Math › Precalculus › Systems of Linear Equations and Matrices
How to show that two matrices are inverses (in the sense of matrix multiplication). 
Square Matrices  Problem 2
Math › Precalculus › Systems of Linear Equations and Matrices
How to interpret 2x2 matrices as transformations. 
Square Matrices  Problem 1
Math › Precalculus › Systems of Linear Equations and Matrices
How to demonstrate that matrix multiplication is not commutative. 
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. 
Square Matrices  Concept
Math › Precalculus › Systems of Linear Equations and Matrices
How to determine whether two matrices can be multiplied, and if so, what the dimensions of the product will be. 
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. 
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. 
The Inverse of a Square Matrix  Concept
Math › Precalculus › Systems of Linear Equations and Matrices
How to determine whether two matrices are inverses. 
The Inverse of a Square Matrix  Problem 1
Math › Precalculus › Systems of Linear Equations and Matrices
How to find the inverse of a square matrix of order 2 using row operations. 
The Inverse of a Square Matrix  Problem 3
Math › Precalculus › Systems of Linear Equations and Matrices
How to find the inverse of a square matrix of order 3 using row operations. 
The Inverse of a Square Matrix  Problem 2
Math › Precalculus › Systems of Linear Equations and Matrices
How to determine that a matrix has no inverse using row operations. 
2x2 Determinants  Concept
Math › Precalculus › Systems of Linear Equations and Matrices
How to compute the determinant of a 2x2 square matrix. 
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 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. 
The Identity Matrix  Concept
Math › Precalculus › Systems of Linear Equations and Matrices
How to determine the identity matrix of order n. 
Solving Linear Systems Using Matrix Algebra  Problem 1
Math › Precalculus › Systems of Linear Equations and Matrices
How to solve two linear equations in two unknowns using matrix algebra. 
Solving Linear Systems Using Matrix Algebra  Problem 2
Math › Precalculus › Systems of Linear Equations and Matrices
How to solve three linear equations in three unknowns using matrix algebra. 
Solving Linear Systems Using Matrix Algebra  Concept
Math › Precalculus › Systems of Linear Equations and Matrices
How to convert a system of linear equations into a matrix equation and solve it. 
Solving Linear Systems Using Matrix Algebra  Problem 3
Math › Precalculus › Systems of Linear Equations and Matrices
How to solve three linear equations in three unknowns using the TI84 to find the inverse of the coefficient matrix. 
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.