1.

Prove that the following. [[a+d,a+d+k,a+d+c],[c,c+b,c],[d,d+k,d+c]]=abc

Answer»

SOLUTION :`[[a+d,a+d+K,a+d+C],[c,c+B,c],[d,d+k,d+c]]`
`[[a,a,a],[c,c+b,c],[d,d+k,d+c]] (R_1~~R_1-R_3)`
`a[[1,1,1],[c,c+b,c],[d,d+k,d+c]]`
`a[[1,0,0],[c,b,-b],[d,k,c-k]]`
`(C_2=C_2-C_1,C_3=C_3-C_2)`
`a[[b,-b],[k,c-k]]`
=a(-bk+bc+bk)=ABC


Discussion

No Comment Found

Related InterviewSolutions