You can use the MMULT function in Google Sheets to perform matrix multiplication.
This function uses the following basic syntax:
MMULT(matrix1, matrix2)
where:
- matrix1, matrix2: The two matrices you’d like to multiply.
The following examples show how to use the MMULT function to perform the following matrix multiplications in Google Sheets:
- (2×2) by (2×2) Matrix Multiplication
- (2×2) by (2×3) Matrix Multiplication
- (3×3) by (3×2) Matrix Multiplication
Let’s jump in!
Example 1: (2×2) by (2×2) Matrix Multiplication
The following screenshot shows how to multiply a (2×2) matrix with another (2×2) matrix in Google Sheets:
We typed the following formula in cell G2 to perform this matrix multiplication:
=MMULT(A2:B3, D2:E3)
Here are the actual formulas that Google Sheets used to perform this matrix multiplication:
This results in the following 2×2 matrix:
Related: An Introduction to (2×2) by (2×2) Matrix Multiplication
Example 2: (2×2) by (2×3) Matrix Multiplication
The following screenshot shows how to multiply a (2×2) matrix with a (2×3) matrix in Google Sheets:
We typed the following formula in cell H2 to perform this matrix multiplication:
=MMULT(A2:B3, D2:F3)
Here are the actual formulas that Google Sheets used to perform this matrix multiplication:
This results in the following 2×3 matrix:
Related: An Introduction to (2×2) by (2×3) Matrix Multiplication
Example 3: (3×3) by (3×2) Matrix Multiplication
The following screenshot shows how to multiply a (3×3) matrix with a (3×2) matrix in Google Sheets:
We typed the following formula in cell H2 to perform this matrix multiplication:
=MMULT(A2:C4, E2:F4)
Here are the actual formulas that Google Sheets used to perform this matrix multiplication:
This results in the following 3×2 matrix:
Related: An Introduction to (3×3) by (3×2) Matrix Multiplication
Note: You can find the complete documentation for the MMULT function in Google Sheets here.
Additional Resources
The following tutorials explain how to perform other common tasks in Google Sheets:
How to Use a MULTIPLY IF Function in Google Sheets
How to Multiply Column by a Constant in Google Sheets
How to Multiply Column by a Percentage in Google Sheets
