Adding, Subtracting, and Multiplying Matrices

Front

What must be true in order to ADD two matrices?

Back

The dimensions must be equal.

Front

How many columns are in a 5 x 4 matrix?

Back

4

Front

Find B-A if B = [[3, 1], [7, -1]] and A = [[1, 0], [1, -4]]

Back

B - A = [[2, 1], [6, 3]]

Front

Add the matrices [[11, 8], [-4, 2]] and [[3, 2], [-6, -6]].

Back

Result = [[14, 10], [-10, -4]]

Front

Find B*A if B = [[7, 1], [9, 5]] and A = [[5, 3], [2, 1]].

Back

B * A = [[47, 30], [9, 5]]

Front

What is the result of subtracting two matrices of different dimensions?

Back

Not possible because rows do not match columns.

Front

Define a matrix.

Back

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

Front

What is the determinant of a matrix?

Back

A scalar value that is a function of the entries of a square matrix, providing important properties of the matrix.

Front

What is the condition for multiplying two matrices?

Back

The number of columns in the first matrix must equal the number of rows in the second matrix.

Front

If A is a 2x3 matrix and B is a 3x2 matrix, what is the size of the product AB?

Back

The product AB will be a 2x2 matrix.