1.

Using properties of determinants, prove that |[1,1+p,1+p+q],[2,3+2p,4+3p+2q],[3,6+3p,10+6p+3q]| = 1

Answer»

SOLUTION :L.H.S. = `|[1,1+p,1+p+q],[0,1,2+p],[0,3,7+3p]|` by (`R_2toR_2-2R_1 and R_3toR_3-3R_1`)
=`|[1,1+p,1+p+q],[0,1,2+p],[0,0,1]|` by `R_3toR_3-3R_2`)
`= 1xx1xx1 = 1 =` R.H.S.


Discussion

No Comment Found

Related InterviewSolutions