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Property

Matrix multiplication is not commutative

(A+B)(AB)=A2AB+BAB2(A+B)(A-B) = A^2 - AB + BA - B^2
AB,BAAB, BA
the two orders of the product

Because AB and BA generally differ, the familiar algebraic identities hold only when the two matrices commute, and the cross terms must be kept separate until then.

15
questions use it
9
of them past-year
2018–2026
years it has appeared
13%
rated HARD
2
exams
Matrices & Determinants notesOpen all 15 in the paper builder

Used alongside

How often each of these appears in the same solution as this one.

15 questions whose solution uses this

Every one was read individually — a question is here because its solution invokes this, not because the stem mentions it.

Every identity this chapter tests, with its own question set.

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