Question

Write the values of x - y + z from the following equation :

[(x+y+z,x+z,y+z)]=[(9,5,7)]

Answer 1

we have

[(x+y+z,x+z,y+z)]=[(9,5,7)]

By definition of equality of matrices, we have
x + y + z = 9 ... (i)
x + z =5 .... (ii)
y + z =7 ... (iii)
(i) – (ii) =>  x + y + z -x - z = 9 -5
=>  y = 4 ... (iv)
(ii) – (iv) => x - y + z =5 -4
=> x -y + z =1