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Formula

Rules of transposition

(AT)T=A,(A+B)T=AT+BT,(kA)T=kAT(A^T)^T = A, \qquad (A+B)^T = A^T + B^T, \qquad (kA)^T = kA^T
kk
a scalar

Transposition undoes itself and distributes over addition and scalar multiplication. Only over a product does it reverse the order.

23
questions use it
18
of them past-year
2018–2026
years it has appeared
13%
rated HARD
3
exams
Matrices & Determinants notesOpen all 23 in the paper builder

Used alongside

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

23 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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