Test Review of Matrix Application

Express the following simultaneous linear equations in matrix form:

x + z - 3y = 4

2x - 8y + 8z = -2

-15z + 3y - 6x = 9

• 
• 
• 
• 

Calculate the determinant

• 0

• -15

• -70

• 10

Add

• 11    8
  -4     2

• 3     2
  -6    -6

• -3    2
  -4    -6

• 10    8
  -6    2

Add.

• -2   4   -9
  -1   -6   -17

• -8   12   -9
  1   6   17

• -8   4   -9
  15   6   7

• -2   -4   -9
  15   6    7

Calculate the determinant

• 0

• none

• -32

• -8

What must be true in order to ADD two matrices?

• They must be square.

• The dimensions must be equal.

• The determinant can't equal 0.

• The column of the 1st must equal the row of the 2nd.

What must be true in order to MULTIPLY two matrices?

• They must be square.

• The dimensions must be equal.

• The determinant can't equal 0.

• The #of columns of the 1st must equal the # of rows of the 2nd.

When a 3x6 matrix is multiplied by a 6x5 matrix, what will the dimensions of the product be?

• 6x6

• 3x6

• 3x5

• 5x6

Find the determinant of the matrix

• -28

• -20

• 20

• 0

Find the product.

• undefined

• -3   16
  17   12
  8   -10

• 3   12 
  -15  -8
  -1   -3