JEE Maths
JEEMathsMatrices & DeterminantsClass 12

What is the difference between AB and BA?

Matrix multiplication is generally non-commutative: AB and BA can differ (or one may not even be defined), so the order of multiplication matters.

Matrix multiplication is generally non-commutative: AB and BA can differ (or one may not even be defined), so the order of multiplication matters. A reliable way to keep them apart is to focus on what each one is defined by, not just the similar-sounding words.

Key point

AB vs BA

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