Given , and , calculate from…

MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices

Problem

Given

A = \begin{bmatrix}1 & -2\\0 & 3\end{bmatrix}

B = \begin{bmatrix}4 & 1\\-1 & 2\end{bmatrix}

and

C = \begin{bmatrix}5 & 3\\2 & -1\end{bmatrix}

, calculate

X

from

4X - 2A + B = 3C

. (a)

\begin{bmatrix}\dfrac{17}{4} & \dfrac{5}{4}\\ \dfrac{3}{2} & \dfrac{3}{4}\end{bmatrix}

(b)

\begin{bmatrix}\dfrac{13}{4} & 1\\ \dfrac{7}{4} & \dfrac{1}{4}\end{bmatrix}

(c)

\begin{bmatrix}13 & 4\\ 7 & 1\end{bmatrix}

(d)

\begin{bmatrix}\dfrac{9}{4} & 3\\ \dfrac{7}{4} & -\dfrac{11}{4}\end{bmatrix}