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Math Foundations
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Linear Algebra
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Matrix multiplication
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108.
Commutativity of Matrix Multiplication
easy
Is matrix multiplication commutative? That is, does AB always equal BA?
A
Yes — but only when both matrices are symmetric and have the same number of rows and columns
B
No — but AB equals BA when both matrices are square and have the same eigenvalues
C
Yes — matrix multiplication always produces the same result regardless of the order of the operands
D
No — in general AB ≠ BA, and BA may not even be defined if A and B have incompatible dimensions
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