Adding and Subtracting Matrices

Front

What must be true in order to ADD two matrices?

Back

The dimensions must be equal.

Front

What is the result of adding the following matrices? Matrix A: 1 2 3 4 Matrix B: 5 6 7 8

Back

Matrix A + Matrix B = 6 8 10 12

Front

What is the result of subtracting the following matrices? Matrix A: 9 8 7 6 Matrix B: 1 2 3 4

Back

Matrix A - Matrix B = 8 6 4 2

Front

What are the dimensions of a matrix with 3 rows and 4 columns?

Back

3 x 4

Front

Can you add a 2x3 matrix to a 3x2 matrix? Why or why not?

Back

No, because the dimensions must be equal for addition.

Front

What is the result of the following matrix addition? Matrix A: 2 3 4 5 Matrix B: 1 1 1 1

Back

Matrix A + Matrix B = 3 4 5 6

Front

What is the result of the following matrix subtraction? Matrix A: 10 15 20 25 Matrix B: 5 5 5 5

Back

Matrix A - Matrix B = 5 10 15 20

Front

If Matrix A is 2x2 and Matrix B is 2x2, what is the result of multiplying them?

Back

The result is also a 2x2 matrix.

Front

What is the identity matrix for 2x2 matrices?

Back

The identity matrix is: 1 0 0 1

Front

What is the determinant of a 2x2 matrix: | a b | | c d |?

Back

The determinant is ad - bc.