Solve the Matrix Equation for X $\mathrm { A } = \left[ \begin{array} { r r r } 5 & 1 & - 4 \\ 5 & 0 & 0 \\ 1 & - 5 & 4 \end{array} \right]$

question 29

Multiple Choice

Solve the matrix equation for X.
-Let $\mathrm { A } = \left[ \begin{array} { r r r } 5 & 1 & - 4 \\ 5 & 0 & 0 \\ 1 & - 5 & 4 \end{array} \right]$ and $\mathrm { B } = \left[ \begin{array} { r r r } - 1 & - 5 & - 4 \\ 0 & 1 & 1 \\ 5 & 0 & 5 \end{array} \right] ; \quad 4 \mathrm {~B} - 4 \mathrm {~A} = \mathrm { X }$

• A)
• \[X = \left[ \begin{array} { r r r }
• - 24 & - 24 & 0 \\
• - 20 & 4 & 4 \\
• 16 & 20 & 4
• \end{array} \right]\]
• B)
• \(X = \left[ \begin{array} { r r r } - 20 & 4 & 4 \\ 16 & 20 & 4 \\ - 24 & - 24 & 0 \end{array} \right]\)
• C)
• \(X = \left[ \begin{array} { r r r } - 24 & - 24 & 0 \\ - 20 & 1 & 1 \\ 16 & 20 & 4 \end{array} \right]\)
• D)
• \(X = \left[ \begin{array} { r r r } - 20 & 1 & 1 \\ 16 & 20 & 4 \\ - 24 & - 24 & 0 \end{array} \right]\)

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