Q. 235.0( 1 Vote )

# Using properties

Answer :

Let’s Take L.H.S

L.H.S =   Taking x, y and z common from R1 , R2 and R3 in the second determinant    Applying R2 - >R2 - R1 and R3 - >R2 - R1 , we get Taking (y - x)(z - x) then , we get Now, Expanding along Coloumn1  Hence, Proved

OR

Given, A = To find: Find the inverse of the A

Explanation: We have given, A = We know, A = IA

Where I is the Identity Matrix Applying R2 - >R2 + R1 Applying R2 - > R2 + 2R3 Applying R1R1 - 2R2 and R3R3 + 2R2 Applying R1R1 + 2R3  Hence, This is the inverse of Matrix

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