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Property

Skew-symmetric matrices

AT=A    aii=0A^T = -A \;\Rightarrow\; a_{ii} = 0
ATA^T
the transpose of A

A matrix is skew-symmetric when its transpose is its negative, which forces every diagonal entry to be zero.

37
questions use it
24
of them past-year
2023–2026
years it has appeared
5%
rated HARD
3
exams
Matrices & Determinants notesOpen all 37 in the paper builder

Used alongside

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

37 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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