Matrix Multiplication - Concept

Concept Concept (1)

When working with matrices, we can perform a number of matrix operations including matrix multiplication. When multiplying matrices, we first need to ensure that the matrices have the same dimensions, which is the number of rows times the number of columns. The resulting matrix after multiplication has the dimensions of the outer two dimensions. Each value is equal to the product of the corresponding row and column.

Sample Sample Problems (3)

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Matrix Multiplication - Problem 1
C = [ 4 0 ]
1 8
D = [ 0 2 ]
-2 3
Find CD
Problem 1
How to multiply two by two matrices.
Matrix Multiplication - Problem 2
A = [2 1 8]
B = [ 1 0 ]
4 -2
3 5
Find A×B
Problem 2
How to multiply matrices with differing dimensions.
Matrix Multiplication - Problem 3
Problem 3
Vertically aligning matrices as a tip for multiplying matrices