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P6 Topic 2: Matrix algebra
Sums and products of matrices backmore
Enter values into either of the matrices A or B, then select various options. You can add or multiply your matrices.
Is it always true that A + B = B + A? Is it always true that A×B = B×A?

Matrix A :

Matrix B :

Matrix C :
ReArrange
Operations  

Summary
A + B = B + A, but in general A×B is different to B×A. This means that matrix addition is commutative, but matrix multiplication is not commutative.
JavaScript interactive pages based on the Java Script Linear Algebra Calculator by Marcus Kazmierczak