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Math Formulas > Linear Algebra > Properties of Matrix Operations

Properties of Matrix Operations

Given that Amn, Bmn and Cmn are matrices with m rows and n columns.

If c and d are scalars, then the following properties are true:

(cd)A = c(dA)

Commutative property of addition

A + B = B + A

Associative property of addition

A + (B + C) = (A + B) + C

Distributive property
c(A + B) = cA + cB
(c + d)A = cA + dA

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