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Formula

Order of a matrix product

Am×nBn×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.

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

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