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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Definitions:

Axillary Artery

A major blood vessel that carries oxygen-rich blood to the armpit area, upper limbs, and some chest regions.

Splenic Artery

The blood vessel that supplies oxygenated blood to the spleen, branching from the abdominal aorta.

Pancreas

An organ in the abdomen involved in the digestion process and blood sugar regulation, producing digestive enzymes and insulin.

Distributing Arteries

Arteries that branch from larger arteries to distribute blood to various parts of the body.