Big Idea 17: Multiplying Matrices

Front

What are the dimensions of the product of a (4 X 5) matrix and a (5 X 1) matrix?

Back

4x1

Front

Can you multiply a (4 X 3) matrix by a (4 X 2) matrix?

Back

Can't multiply them

Front

What dimensions can a (2 X 3) matrix be multiplied by?

Back

3X12

Front

Which of the following multiplications is possible: AB, BA, or AC if A is (2X2) and B is (2X3)?

Back

BA

Front

What is the rule for multiplying matrices regarding dimensions?

Back

The number of columns in the first matrix must equal the number of rows in the second matrix.

Front

If matrix A is (3 X 4) and matrix B is (4 X 2), what are the dimensions of the product AB?

Back

3X2

Front

If matrix A is (5 X 3) and matrix B is (3 X 5), what are the dimensions of the product BA?

Back

5X3

Front

Can a (3 X 2) matrix be multiplied by a (2 X 3) matrix?

Back

Yes, the product will be a (3 X 3) matrix.

Front

What is the result of multiplying a (2 X 2) matrix by a (2 X 2) matrix?

Back

A (2 X 2) matrix.

Front

If matrix C is (2 X 3), which of the following can it be multiplied by: (3 X 2), (2 X 2), or (3 X 3)?

Back

(3 X 2)