Solve the matrix equation for X.
-Let $A = \left[ \begin{array} { r r } 5 & - 3 \ 1 & 1 \ 4 & 1 \end{array} \right]$ and $B = \left[ \begin{array} { l l } - 3 & - 7 \ - 3 & - 6 \ - 6 & - 3 \end{array} \right] ; \quad X - B = A$
A)
$\left[ \begin{array} { r r } 2 & - 10 \ - 2 & - 5 \ - 2 & - 2 \end{array} \right]$
B)
$\left[ \begin{array} { r } 84 \ 47 \ 102 \end{array} \right]$
C)
$\left[ \begin{array} { r r } 2 & - 10 \ 2 & 1 \ - 2 & 2 \end{array} \right]$
D)
$\left[ \begin{array} { r r } 2 & 1 \ - 2 & - 5 \ - 2 & - 2 \end{array} \right]$

Question

Quizplus · Accepted Answer

To solve for $X$ in the equation $X - B = A$, we add $B$ to both sides to get $X = A + B$. Adding matrices $A$ and $B$ element-wise gives us $\left[ \begin{array} { r r } 2 & - 10 \ - 2 & - 5 \ - 2 & - 2 \end{array} \right]$.

Solve the Matrix Equation for X A=[5−31141]A = \left[ \begin{array} { r r } 5 & - 3 \\ 1 & 1 \\ 4 & 1 \end{array} \right]A=​514​−311​​

Solve the Matrix Equation for X $A = \left[ \begin{array} { r r } 5 & - 3 \\ 1 & 1 \\ 4 & 1 \end{array} \right]$