Question on: SS3 Mathematics - Matrices and Determinants
Let \(A = \begin{bmatrix} 7 & 3 \\ 4 & 2 \\ \end{bmatrix}\) and \(B = \begin{bmatrix} - 3 & 1 \\ 2 & 4 \\ \end{bmatrix}\), find \(|A| + |B|\)
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\[A = \begin{bmatrix} 7 & 3 \\ 4 & 2 \\ \end{bmatrix}\]
\[|A| = 7(2) - 3(4) = 14 - 12 = 2\]
\[B = \begin{bmatrix} - 3 & 1 \\ 2 & 4 \\ \end{bmatrix}\]
\[|B| = - 3(4) - 1(2) = - 12 - 2 = - 14\]
\[|A| + |B| = 2 + ( - 14) = 2 - 14 = - 12\]
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