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 does it mean to subtract two matrices?

Back

To subtract two matrices, you subtract the corresponding elements of the second matrix from the first.

Front

What are the conditions for adding two matrices?

Back

Two matrices can be added if they have the same dimensions (same number of rows and columns).

Front

What are the conditions for subtracting two matrices?

Back

Two matrices can be subtracted if they have the same dimensions.

Front

What is an element of a matrix?

Back

An element is a single value or entry in a matrix.

Front

How do you denote a matrix?

Back

A matrix is usually denoted by a capital letter (e.g., A, B, C) and its elements are often represented by lowercase letters with two subscripts (e.g., a_{ij}).

Front

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

Back

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

Front

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

Back

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

Front

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

Back

No, you cannot add matrices of different dimensions.