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, add their corresponding elements. The matrices must have the same dimensions.

Front

How do you subtract two matrices?

Back

To subtract two matrices, subtract their corresponding elements. The matrices must have the same dimensions.

Front

What is the requirement for two matrices to be added?

Back

The dimensions of the two matrices must be equal.

Front

What is the requirement for two matrices to be subtracted?

Back

The dimensions of the two matrices must be equal.

Front

What is the element a₂₃ in a matrix?

Back

The element a₂₃ refers to the element located in the second row and third column of a matrix.

Front

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

Back

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

Front

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

Back

A - B = [[-4, -4], [-4, -4]]

Front

What does it mean for matrices to be compatible for addition?

Back

Matrices are compatible for addition if they have the same number of rows and columns.

Front

What is the result of adding a 2x2 matrix and a 2x3 matrix?

Back

You cannot add a 2x2 matrix and a 2x3 matrix because their dimensions are not equal.