Adding and Subtracting Matrices

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers arranged in rows and columns.

Front

How do you add two matrices?

Back

To add two matrices, they must have the same dimensions. Add corresponding elements.

Front

What is the result of adding a 2x3 matrix and a 2x3 matrix?

Back

The result is another 2x3 matrix.

Front

What is a 3x2 matrix?

Back

A matrix with 3 rows and 2 columns.

Front

What is the term for the individual items in a matrix?

Back

Element.

Front

Can you subtract a 3x2 matrix from a 2x3 matrix?

Back

No, because they have different dimensions.

Front

What is the dimension of a matrix?

Back

The dimension of a matrix is defined by the number of rows and columns it has.

Front

If A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]], what is A + B?

Back

A + B = [[6, 8], [10, 12]].

Front

What happens if you try to add a 2x3 matrix to a 3x2 matrix?

Back

It is not possible because the matrices have different dimensions.

Front

What is the result of subtracting B from A if A = [[3, 4], [5, 6]] and B = [[1, 2], [3, 4]]?

Back

A - B = [[2, 2], [2, 2]].