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Matrix Multiplication

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Examples, videos, worksheets, solutions, and activities to help Algebra students learn about matrix multiplication.

How to multiply two matrices?
1. Check that number of columns in the first matrix is equal to the number of rows in the second matrix. (If they are not equal then it is not possible to multiply these two matrices.)
2. Multiply element by element across the rows of the first matrix and down the columns of the second matrix and add the products. (See the videos below for more details)
3. Check that the result is a matrix with the same number of rows as the first matrix and the same number of columns as the second matrix.

Multiplying Matrices
Multiply a 2 x 3 matrix by a 3 x 1 matrix
Multiplying Matrices
multiply a 2 x 3 matrix by a 3 x 2 matrix

Matrix multiplication (part 1)
Multiplying two 2 x 2 matrices.
Matrix multiplication (part 2)
More on multiplying matrices.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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