Find x, y satisfying the matrix equations.

[x y + 2 z - 3] + [y 4 5] = [4 9, 12]

=

We know that , corresponding entries of equal matrices are equal.


= X+Y=4 ……(i)


= Y+6=9 ……(ii)


= Z+2=12 ……(iii)


On solving equation(i),(ii) and equation(iii) we get,


= Y=9-6


= Y=3


= Z=12-2


= Z=10


Put the value of Y in equation(i)…we get,


= X+3=4


= X=4-3


= X-1


Hence, X=1,Y=3 and Z=10


15