Let and . Find the matrix C, if C = 2A + B.

Engineering

Mathematics

Introduction to Matrix

Algebra of Matrices

Question

Let $A = (\begin{array}{cc} 3 & 2 \\ 5 & 1 \end{array})$ and $B = (\begin{array}{cc} 8 & - 1 \\ 4 & 3 \end{array})$ . Find the matrix C, if C = 2A + B.

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$C = 2 (\begin{array}{cc} 3 & 2 \\ 5 & 1 \end{array}) + (\begin{array}{cc} 8 & - 1 \\ 4 & 3 \end{array})$
$C = (\begin{array}{cc} 14 & 3 \\ 14 & 5 \end{array})$