Question

Matrix X= [−63−12] and
Y= [0000] . Find X+Y . X+Y= [acbd]

Answer 1

The sum of matrices X and Y is:

`X+ Y= \left[\begin{array}{ccc}-6&-3\\-1&2\end{array}\right]`

To find the sum of two matrices, you simply add corresponding elements. Given matrices:

`X= \left[\begin{array}{ccc}-6&3\\-1&2\end{array}\right] \\Y= \left[\begin{array}{ccc}0&0\\0&0\end{array}\right]`

Now, add the corresponding elements:

`X + Y = \left[\begin{array}{ccc}-6 +0&-3+0\\-1+0&2+0\end{array}\right]`

Simplify:

`X+ Y= \left[\begin{array}{ccc}-6&-3\\-1&2\end{array}\right]`

So, the sum of matrices X and Y is:

`X+ Y= \left[\begin{array}{ccc}-6&-3\\-1&2\end{array}\right]`