Solve the matrix equation for X.
-Let $\mathrm { A } = \left[ \begin{array} { r r } 3 & 3 \ - 3 & 1 \end{array} \right]$ and $\mathrm { B } = \left[ \begin{array} { r r } - 3 & 2 \ 3 & - 2 \end{array} \right] ; \quad \mathrm { X } + \mathrm { A } = \mathrm { B }$
A)
$X = \left[ \begin{array} { r r } - 6 & - 1 \ 6 & - 3 \end{array} \right]$
B)
$X = \left[ \begin{array} { r r } - 1 & - 6 \ - 3 & 6 \end{array} \right]$
C)
$$X = \left[ \begin{array} { r r }
- 3 & 6 \
- 1 & - 6\end{array} \right]$$

D)
$X=\left[\begin{array}{rr}
-3 & 6 \
-1 & -6
\end{array}\right]$

Question

Solve the matrix equation for X.
-Let $\mathrm { A } = \left[ \begin{array} { r r } 3 & 3 \ - 3 & 1 \end{array} \right]$ and $\mathrm { B } = \left[ \begin{array} { r r } - 3 & 2 \ 3 & - 2 \end{array} \right] ; \quad \mathrm { X } + \mathrm { A } = \mathrm { B }$
A)
$X = \left[ \begin{array} { r r } - 6 & - 1 \ 6 & - 3 \end{array} \right]$
B)
$X = \left[ \begin{array} { r r } - 1 & - 6 \ - 3 & 6 \end{array} \right]$
C)
$$X = \left[ \begin{array} { r r } 
- 3 & 6 \
- 1 & - 6\end{array} \right]$$

D)
$X=\left[\begin{array}{rr}
-3 & 6 \
-1 & -6
\end{array}\right]$

Quizplus · Accepted Answer

To solve for $X$ in the equation $X + A = B$, we subtract $A$ from both sides to get $X = B - A$. Calculating $B - A$ gives us:$$\left[ \begin{array} { r r } - 3 & 2 \ 3 & - 2 \end{array} \right] - \left[ \begin{array} { r r } 3 & 3 \ - 3 & 1 \end{array} \right] = \left[ \begin{array} { r r } - 6 & - 1 \ 6 & - 3 \end{array} \right]$$

Solve the Matrix Equation for X A=[33−31]\mathrm { A } = \left[ \begin{array} { r r } 3 & 3 \\ - 3 & 1 \end{array} \right]A=[3−3​31​]

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