Q. 10 A 4.8( 19 Votes )

By using properties of determinants, show that:

Answer :

R1 R1 + R2 + R3 (i.e. replace 1st row by addition of 1st, 2nd and 3rd row)

Taking 5x + 4 outside the determinant from 1st row

C2 C2 - C1 (i.e. replace 2nd column by subtraction of 2nd and 1st column)

C3 C3 - C1 (i.e. replace 3rd column by subtraction of 3rd and 1st column)

Expanding the determinant along 1st row

LHS = (5x - 4) (4 - x)2 = RHS

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