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Question
Find x, y satisfying the matrix equations
`[x y + 2 z-3 ] + [ y 4 5]=[4 9 12]`
Solution
[x y+2 z−3] + [y 4 5]=[4 9 12]
⇒[x+y y+2+4 z−3+5]=[4 9 12]
⇒[x+y y+6 z+2]=[4 9 12]
∴ x+y=4 ...(1)
Also,
y+6=9
⇒y=3
z+2=12
⇒z=10
Putting the value of y in eq. (1), we get
x+3=4
⇒x=4−3
⇒ x=1
∴ x=1, y=3 and z=10
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