Compute the following sum: and

Engineering

Mathematics

Introduction to Matrix

Algebra of Matrices

Question

Compute the following sum:
$A = [\begin{array}{cc} 3 & - 2 \\ 1 & 4 \end{array}]$ and $B = [\begin{array}{cc} - 2 & 4 \\ 1 & 3 \end{array}]$

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$A = [\begin{array}{cc} 3 & - 2 \\ 1 & 4 \end{array}]$ and $B = [\begin{array}{cc} - 2 & 4 \\ 1 & 3 \end{array}]$

\Rightarrow A + B = [\begin{array}{cc} 3 & - 2 \\ 1 & 4 \end{array}] + [\begin{array}{cc} - 2 & 4 \\ 1 & 3 \end{array}]

\Rightarrow A + B = [\begin{array}{cc} 3 + (- 2) & - 2 + 4 \\ 1 + 1 & 4 + 3 \end{array}]

\Rightarrow A + B = [\begin{array}{cc} 1 & 2 \\ 2 & 7 \end{array}]