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Property

Addition and scalar multiplication

(A+B)ij=aij+bij,(kA)ij=k aij(A + B)_{ij} = a_{ij} + b_{ij}, \qquad (kA)_{ij} = k\,a_{ij}
kk
the scalar

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

13
questions use it
5
of them past-year
2017–2026
years it has appeared
8%
rated HARD
3
exams
Matrices & Determinants notesOpen all 13 in the paper builder

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

13 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.

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Showing 13 of 13 questions — easiest first, then oldest paper first.

  • #1NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #2NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #3CBSE Class 12 → Mathematics → Matrices → Addition and Scalar Multiplication

  • #4NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #5NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #6CBSE Class 12 → Mathematics → Matrices → Addition and Scalar Multiplication

  • #7CBSE Class 12 → Mathematics → Matrices → Addition and Scalar Multiplication

  • #8NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #9NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #10NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #11MHT-CET → Maths → Determinants and Matrices → Inverse of a Matrix — Adjoint Formula, Products and Verification

  • #12CBSE Class 12 → Mathematics → Matrices → Multiplication of Matrices

  • #13NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

Every identity this chapter tests, with its own question set.

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