Adding and Subtracting Matrices

Front

What is a matrix?

Back

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

Front

What does it mean to add two matrices?

Back

To add two matrices, you add their corresponding elements together.

Front

What must be true in order to ADD two matrices?

Back

The dimensions of the matrices must be equal.

Front

What does it mean to subtract two matrices?

Back

To subtract two matrices, you subtract their corresponding elements.

Front

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

Back

No, you cannot add them because their dimensions are not 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

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

Back

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

Front

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

Back

The result is the original matrix.

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 = [[0, 1], [1, 0]], what is A + B?

Back

A + B = [[2, 4], [5, 5]]