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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 |
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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.
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