Question

Let A= ????

3 2
−1 5
3 −4
???? and X be a 3 × 2 matrix. If A+ X = ????
−2 3
4 1
1 −5
????, then find X

Answer 1

X =
`\begin{bmatrix}5 &-1 \\ -5 &4 \\2& -9\end{bmatrix}`

Explanation:

given,

A + X = Q

X = A - Q

A =
`\begin{bmatrix}3 &2 \\ -1 &5 \\3& -4\end{bmatrix}`

Q =
`\begin{bmatrix}-2 &3\\ 4 &1 \\ 1&-5\end{bmatrix}`

now

X =
`\begin{bmatrix}3 &2 \\ -1 &5 \\3& -4\end{bmatrix}-\begin{bmatrix}-2 &3\\ 4 &1 \\ 1&-5\end{bmatrix}`

X =
`\begin{bmatrix}3-(-2) &2-3 \\ -1-4 &5-1 \\3-1& -4-5\end{bmatrix}`

X =
`\begin{bmatrix}5 &-1 \\ -5 &4 \\2& -9\end{bmatrix}`

hence, the required matrix is given above