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 are the dimensions of a matrix?

Back

The dimensions of a matrix are given in the form 'rows x columns', indicating how many rows and columns it has.

Front

How do you add two matrices?

Back

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

Front

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

Back

The result is another 2x3 matrix.

Front

What is matrix subtraction?

Back

Matrix subtraction involves subtracting corresponding elements of two matrices of the same dimensions.

Front

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

Back

No, you cannot subtract matrices of different dimensions.

Front

What is the sum of the matrices A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]]?

Back

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

Front

What is the difference of the matrices C = [[10, 20], [30, 40]] and D = [[5, 5], [5, 5]]?

Back

C - D = [[5, 15], [25, 35]]

Front

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

Back

A + B = [[6, 8]]

Front

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

Back

You cannot add them because they have different dimensions.