Math, asked by landgekunal, 1 day ago

If A is a m ×n matrix u, v ∈ Rn and C is a scalar then prove that (i) A(u + v) = A(u) + A(v) (ii) A(cu) = c(Au).

Answers

Answered by mokshjoshi

Answer:

a vector space over its over field. For example, R is not a vector space over C, because multiplication of a real number and a complex number is not necessarily a real number

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If A is a m ×n matrix u, v ∈ Rn and C is a scalar then prove that (i) A(u + v) = A(u) + A(v) (ii) A(cu) = c(Au).​

Answers

If A is a m ×n matrix u, v ∈ Rn and C is a scalar then prove that (i) A(u + v) = A(u) + A(v) (ii) A(cu) = c(Au).