Operation of Matrices

Add

• 11    8
  -4     2

• 3     2
  -6    -6

• -3    2
  -4    -6

• 10    8
  -6    2

Find A+B

• 8     10
  8      1 

• 12     25
  7     1

• 10     30
  0     1

• can't add two together because the rows dont match columns

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.

Perform the indicated operation

• 
• 
• 
• 
• not possible

Find the product of the two matrices.

• undefined

• -3   16
  17   12
  8   -10

• 3   12 
  -15  -8
  -1   -3

If the matrices can be multiplied, what dimension is the product? If not, write undefined.

• undefined

• ( 3 x 1 )

• ( 1 x 2 )

• ( 3 x 2 )

Find B-A

• -3 1

  7 -1

• 1 0

  1 -4

• 4 0

  -6 1

• not possible because rows do not match columns

You can multiply a 2X3 matrix by which matrix?

• 2X2

• 2X12

• 3X12

• 2X3

• A

• B

• C

• D

Perform the indicated operation.  If it’s not possible, select Not Possible. 

• 7
  -7
  -6
  20

• 7 
  -9
  -6
  20

• Not Possible

• 7
  -9
  2
  20