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Order of a matrix product

Am×n Bn×p=(AB)m×pA_{m\times n}\,B_{n\times p} = (AB)_{m\times p}
m,n,pm, n, p
the dimensions involved

A product is defined only when the number of columns of the first matrix equals the number of rows of the second, and the result takes the outer dimensions.

34
questions use it
25
of them past-year
2017–2026
years it has appeared
3%
rated HARD
3
exams
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Used alongside

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

34 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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  • #1CBSE Class 12 → Mathematics → Matrices → Addition and Scalar Multiplication

  • #2NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums

  • #3NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

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

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

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  • #7NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #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

  • #11NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #12NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #13CBSE Class 12 → Mathematics → Matrices → Transpose of a Matrix

  • #14CBSE Class 12 → Mathematics → Matrices → Transpose of a Matrix

  • #15CBSE Class 12 → Mathematics → Matrices → Multiplication of Matrices

  • #16CBSE Class 12 → Mathematics → Matrices → Multiplication of Matrices

  • #17CBSE Class 12 → Mathematics → Matrices → Multiplication of Matrices

  • #18CBSE Class 12 → Mathematics → Matrices → Multiplication of Matrices

  • #19CBSE Class 12 → Mathematics → Matrices → Multiplication of Matrices

  • #20CBSE Class 12 → Mathematics → Matrices → Multiplication of Matrices

  • #21CBSE Class 12 → Mathematics → Matrices → Multiplication of Matrices

  • #22CBSE Class 12 → Mathematics → Matrices → Multiplication of Matrices

  • #23CBSE Class 12 → Mathematics → Matrices → Multiplication of Matrices

  • #24NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #25NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #26NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #27NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #28MHT-CET → Maths → Determinants and Matrices → Inverse of a Matrix — Adjoint Formula, Products and Verification

  • #29CBSE Class 12 → Mathematics → Matrices → Order and Types of Matrices

  • #30CBSE Class 12 → Mathematics → Matrices → Multiplication of Matrices

  • #31NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #32CBSE Class 12 → Mathematics → Matrices → Multiplication of Matrices

  • #33NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #34NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

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

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