1.

Using properties of determinants prove that|(a + x,y,z),(x,a + y,z),(x,y,a + x)| = a2(a + x + y + z) 

Answer»

C1 → C1 + C2 + C

Taking (a + x + y + z) common 

After this R1 → R1 – R2, R2 → R2 – R3 and expand



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