Question

Given. R=0 3 -4 5 and S=-2 -8 0 2. what is X if X+R=S?

Answer 1

`X =\left[\begin{array}{cc}-2 &-11\\4 &-3\end{array}\right]`

Explanation:

Given

`R =\left[\begin{array}{cc}0&3\\-4&5\end{array}\right]`

`S =\left[\begin{array}{cc}-2&-8\\0&2\end{array}\right]`

`X + R = S`

Required

Find X

`X + R = S`

Make X the subject

`X = S - R`

Substitute values for S and R

`X =\left[\begin{array}{cc}-2&-8\\0&2\end{array}\right] - \left[\begin{array}{cc}0&3\\-4&5\end{array}\right]`

This can be rewritten as:

`X =\left[\begin{array}{cc}-2 -0 &-8 - 3\\0 - (-4) &2 - 5\end{array}\right]`

`X =\left[\begin{array}{cc}-2 &-11\\4 &-3\end{array}\right]`