Property

Addition and scalar multiplication

(A + B)_{ij} = a_{ij} + b_{ij}, \qquad (kA)_{ij} = k\,a_{ij}

Matrices of the same order are added entry by entry, and a scalar multiplies every entry, so both operations act position by position.

questions use it

of them past-year

2017–2026

years it has appeared

rated HARD

exams

Used alongside

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

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.