Solveeit Logo
Login

Question

Mathematics Question on Matrix

If A = [231\[0.3em]0−15]\begin{bmatrix} 2 & 3 & 1 \\\[0.3em] 0 & -1 & 5 \end{bmatrix} and B = [12−1\[0.3em]0−13]\begin{bmatrix} 1 & 2 & -1 \\\[0.3em] 0 & -1 & 3 \end{bmatrix}, what is the value of (2A-3B)?

A

[110\[0.3em]015]\begin{bmatrix} 1 & 1 & 0 \\\[0.3em] 0 & 1 & 5 \end{bmatrix}

B

[105\[0.3em]011]\begin{bmatrix} 1 & 0& 5 \\\[0.3em] 0 & 1 & 1 \end{bmatrix}

C

[011\[0.3em]105]\begin{bmatrix} 0 & 1& 1 \\\[0.3em] 1 & 0 & 5 \end{bmatrix}

D

[501\[0.3em]110]\begin{bmatrix} 5 & 0& 1 \\\[0.3em] 1 & 1 & 0 \end{bmatrix}

Answer

[105\[0.3em]011]\begin{bmatrix} 1 & 0& 5 \\\[0.3em] 0 & 1 & 1 \end{bmatrix}

Explanation

Solution

The correct option is (B)