Math  /  Algebra

QuestionCompute (i) A(B+C)A(B+C) and (ii) (B+C)A(B+C)A for matrices A=(1234)A=\begin{pmatrix}1 & 2 \\ 3 & 4\end{pmatrix}, B=(2142)B=\begin{pmatrix}2 & 1 \\ 4 & 2\end{pmatrix}, C=(5174)C=\begin{pmatrix}5 & 1 \\ 7 & 4\end{pmatrix}.

Studdy Solution
Calculate the result of the matrix multiplication.
(B+C)A=[13182938](B + C)A = \left[\begin{array}{ll}13 &18 \\29 &38\end{array}\right]So, the solutions are(i) A(B+C)=[29147130]A(B + C) = \left[\begin{array}{ll}29 &14 \\71 &30\end{array}\right](ii) (B+C)A=[13182938](B + C)A = \left[\begin{array}{ll}13 &18 \\29 &38\end{array}\right]

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