Math Solutions

(See Steps) (a) Let

Question: (a) Let

\[M=\left[ \begin{matrix} 1 & 3 \\ 2 & 4 \\ \end{matrix} \right]\] and \[N=\left[ \begin{matrix} -1 & 0 \\ 0 & 2 \\ \end{matrix} \right]\]

Compute \(A={{\left( M-2{{N}^{T}} \right)}^{T}}\)

(b) Find the inverse of A .

(c) Let

\[B=\left[ \begin{matrix} 6 & 100 & 6 \\ 3 & -122 & 15 \\ \end{matrix} \right]\left[ \begin{matrix} -1 \\ 0 \\ 2 \\ \end{matrix} \right]\]

Solve \(AX=B\).

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