Excel Matrix Multiplication Tutorial

Understanding Matrix Multiplication in Excel

Matrix multiplication in Excel is an integral feature that simplifies complex calculations. It significantly reduces the time required to multiply matrices manually.

Methods of Matrix Multiplication in Excel

Excel supports two primary methods for matrix multiplication: scalar multiplication and advanced array function multiplication, accommodating different calculation needs.

Using the MMULT Function for Matrix Multiplication

The MMULT function is a predefined feature in Excel used for multiplying two arrays. It automatically calculates and populates the product matrix with the resulting numbers.

Understanding the Size of the Product Array

The resulting size of the product array from matrix multiplication in Excel corresponds to the rows in the first array and the columns in the second array.

Matrix Multiplication Properties

Note that matrix multiplication is not commutative; AB and BA yield different results. However, multiplying any matrix by a unit matrix will return the original matrix.

Common Use Cases

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  Optimizing a budget by solving for cost allocations across multiple departments
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  Analyzing risk and returns in a financial portfolio through covariance matrix inversion
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  Planning and scheduling resources for project management by solving linear equations
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  Conducting market basket analysis to understand product associations using matrix multiplication
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  Evaluating multi-variable regression results in statistical data analysis

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