1.Use the given matrix to find the expression.

C=542 ;3C

769

743

3C=

2.Use the given matrices to find the expression.

A=239 C= 767

782 847 ;A+C

133 345

A+C=

3.Find the matrix product.

3 (23)

2

4.Find the matrix product.

521 2

114 1

4

5.Find the matrix product.

322 21

222 13

33

6.Rewrite the system of linear equations as a matrix equationAX=B.

x₁+3x₂+4x₃=5x

₁+x₂+x₃=6

6x₁+4x₂+3x₃=3

7.Rewrite the system of linear equations as a matrix equationAX=B.

3x₁+4x₂5x₃+x₄+2x₅=3

x₁+x₂4x₃+x₄+3x₅=2

8.Formulate the situation in matrix form. Be sure to indicate the meaning of your rows and columns. Find the requested quantities using the appropriate matrix arithmetic.

A sports apparel company manufactures shorts, tee shirts, and caps in Costa Rica and Honduras for importation and sale in the United States. In Costa Rica the labor costs per item are60per pair of shorts,30per tee shirt, and50per cap, while the costs of the necessary materials are$1.50per pair of shorts,85per tee shirt, and$1.10per cap. In Honduras the labor costs per item are80per pair of shorts,25per tee shirt, and55per cap, while the costs of the necessary materials are$1.60per pair of shorts,80per tee shirt, and$1.05per cap. Represent these costs as a labor cost matrixLand a materials cost matrixM. Use these matrices to find the total cost matrixCfor these products in these countries. (Let the first row represent the cost, in pennies, in Costa Rica and the second row represent the cost, in pennies, in Honduras.)

shorts tee shirt cap

L=

M=

C=