Give the order of the matrix and the value of the designated entry of the matrix.
Write an augmented matrix for the system of equations.
Write the system of linear equations represented by the augmented matrix
Use x, y, and z for the variables.
Find values for the variables so that the matrices
are equal.
In Problems 5 and 6, solve the system of equations by using matrices.
Let
In Problems 8 and 9, find the product AB or state that AB is not defined.
For Problems 10–13, let
Find 2A.
Find
Find
Find
Find the inverse of the matrix
Write the linear system
as a matrix equation in the form
Write the matrix equation
as a system of linear equations without matrices.
Solve the matrix equation
In Problems 18 and 19, evaluate the determinant.
Use Cramer’s Rule to write the solution of the system
in the determinant form. (You do not need to find the solution.)