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, align them by their corresponding elements and sum each pair of elements.

Front

What are the dimensions of a matrix?

Back

The dimensions of a matrix are defined by the number of rows and columns it contains, expressed as 'rows x columns'.

Front

Can you add a 3x2 matrix to a 2x3 matrix?

Back

No, you cannot add matrices with different dimensions.

Front

What is a 5 x 4 matrix?

Back

A 5 x 4 matrix has 5 rows and 4 columns.

Front

What must be true in order to subtract two matrices?

Back

The dimensions of both matrices must be equal.

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 is the result of adding a matrix to a zero matrix?

Back

The result is the original matrix itself.

Front

What is a zero matrix?

Back

A zero matrix is a matrix in which all elements are zero.

Front

If A = [[2, 3], [4, 5]] and B = [[1, 1], [1, 1]], what is A - B?

Back

A - B = [[1, 2], [3, 4]].