7. Systems of Equations & Matrices

In Exercises 9 - 16, find the following matrices: a. A + BA = [6 2 - 3], B = [4 - 2 3]

In Exercises 9 - 16, find the following matrices: c. - 4AA = [6 2 - 3], B = [4 - 2 3]

In Exercises 13–18, perform each matrix row operation and write the new matrix.

Write the system of equations associated with each augmented matrix . Do not solve. <4x3 Matrix>

In Exercises 9 - 16, find the following matrices: d. - 3A + 2B2 - 10 - 2 6 10 - 2A = 14 12 10 B = 0 - 12 - 44 - 2 2 - 5 2 - 2

In Exercises 14–27, perform the indicated matrix operations given that and D are defined as follows. If an operation is not defined, state the reason. D-A

In Exercises 13–18, perform each matrix row operation and write the new matrix.

Write the system of equations associated with each augmented matrix . Do not solve. <4x3 Matrix>

In Exercises 14–27, perform the indicated matrix operations given that and D are defined as follows. If an operation is not defined, state the reason. 3A+2D

In Exercises 19–20, a few steps in the process of simplifying the given matrix to row-echelon form, with 1s down the diagonal from upper left to lower right, and 0s below the 1s, are shown. Fill in the missing numbers in the steps that are shown.

Write the system of equations associated with each augmented matrix . Do not solve.

Find the values of the variables for which each statement is true, if possible. SeeExamples 1 and 2. =

In Exercises 17 - 26, let - 3 - 7 - 5 - 1A = 2 - 9 and B = 0 05 0 3 - 4Solve each matrix equation for X.2X + A = B

In Exercises 14–27, perform the indicated matrix operations given that and D are defined as follows. If an operation is not defined, state the reason. -5(A+D)

Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, write the solution with y arbitrary. For systems in three variables with infinitely many solutions, write the solution set with z arbitrary. See Examples 1-4. x + y = 5 x - y = -1