Operation of Matrices

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Find the product of the two matrices.

• 1 2

  6 -8

• -3 -5

  -5 -11

• -2 8

  -6 -12

• 2 -3

  5 -2

Perform the following operation

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• not possible

• A
• B
• C
• D

If A is a 2 × 3 matrix, and B is a 3 × 4 matrix, how many columns does AB have?

• 2

• 3

• 4

• AB is not defined

Add

• 11    8
  -4     2

• 3     2
  -6    -6

• -3    2
  -4    -6

• 10    8
  -6    2

How many columns are in a 5 x 4 matrix?

• 5

• 4

• 20

• 9

Can the operation be performed?

• Yes

• No

To add or subtract matrices, which of the following must be true?

• They are the same matrix

• They have the same dimensions

• Rows in the 1st matrix must have the same # of terms as the columns as the 2nd matrix

• All matrices can be added

Which distributive law for properties of multiplication matrices?

• (A+B)C = AC + AB

• A(BC) = (AB)C

• A(B+C) = AB + AC

• (AB)C = A(BC)