Question

Find the Value of X and Y


pls reply ony if you can​

Answer 1

Answer:

Step-by-step explanation:

let the matrix

$X=\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]$ and $Y=\left[\begin{array}{ccc}g&h\\i&j\\k&l\end{array}\right]$

So,

$2X+3Y=\left[\begin{array}{ccc}2a+3g&2b+3h\\2c+3i&2d+3j\\2e+3k&2f+3l\end{array}\right]=\left[\begin{array}{ccc}2&-1\\-3&-2\\2&2\end{array}\right]$

And,

$3X-Y=\left[\begin{array}{ccc}3a-g&3b-h\\3c-i&3d-j\\3e-k&3f-l\end{array}\right] =\left[\begin{array}{ccc}3&4\\-10&-3\\3&14\end{array}\right]$

Now compare and equate all the elements (equations) we get

$a=1$  and  $g=0$  (by solving the equations $2a+3g=2 and 3a-g=3$)

and   $b=0 \ and \ h=-1$  (by solving the equations $2b+3h=-1\ and\ 3b-h=4$)

Likewise

$c=-3,\ i=1$

$d=-1, j=0$

$e=1, k=0$

$f=4, l=-2$

hence the matrices

thank you