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