Let A, B,C, and D be matrices such that AB = D and AC - D.
Chapter 1, Problem 47E(choose chapter or problem)
Let A, B,C, and D be matrices such that AB = D and AC - D. The following statements are steps in a proof that if r and s are scalars, then A(rB+sC) = (r + s)D. Use Theorems to provide reasons for each of the steps.a) A( rB + sC ) = A(rB)+ A(sC).________________b) Ar(B+ sC) = r(AB) + s(AC) = rD + sD.________________c) A(rB + sC) = (r + s)D.
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