PYQ Vault

Formula

Determinant of the transpose

AT=A|A^T| = |A|
ATA^T
the transpose of A

Transposing a matrix leaves its determinant unchanged, which is why every row property of determinants has a matching column property.

15
questions use it
12
of them past-year
2017–2026
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.

All Matrices & Determinants formulas