Question

Prove by using the properties of determinants that [a+x y z. x a+y z. x y a+z]=
a2(a+x+y+z)​

Answer 1

hey mate and here is ur answer

given [a+x y z.

x a+y z

x y a+z]

R2_R2-R1,, R3_R3-R1

we get [x+a y z

-a a 0

-a 0 a]

finding det of this equation we get

a2(a+x+y+z)