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Property

Equality of matrices

A=B    aij=bij i,jA = B \iff a_{ij} = b_{ij} \ \forall\, i,j
aij,bija_{ij}, b_{ij}
corresponding entries

Two matrices are equal only when they have the same order and every corresponding pair of entries agrees, which turns one matrix equation into several scalar ones.

16
questions use it
7
of them past-year
2023–2025
years it has appeared
6%
rated HARD
2
exams
Matrices & Determinants notesOpen all 16 in the paper builder

Used alongside

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

16 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