Answer :

C1 → C1 + C2 + C3 (i.e. replace 1^{st} column by addition of 1^{st}, 2^{nd} and 3^{rd} column)

Taking 2(x + y + z) outside the determinant from 1^{st} column

R2 → R2 - R1 (i.e. replace 2^{nd} row by subtraction of 2^{nd} and 1^{st} row)

R3 → R3 - R1 (i.e. replace 3^{rd} row by subtraction of 3^{rd} and 1^{st} row)

Expanding the determinant along 1^{st} column

∴ LHS = 2(x + y + z)^{3} = RHS

∴

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

Using properties Mathematics - Board Papers

Using properties Mathematics - Board Papers

Using properties Mathematics - Board Papers

Prove the followiMathematics - Board Papers