Question

If u, v and w (all positive) are the pth, qth and
rth terms of a GP, then the determinant of the matrix
Inu P 1
Inv q 1
Inw r I
​

Answer 1

Answer:

0

Step-by-step explanation:

Put , if common difference is r' and first term a

$u = a {r'}^{p- 1} \\ lnu = ln(a) + (p - 1) ln(r')$

Similarly other terms

Multiply column 3 by ln(a) and subtract from column 1 .

This how all ln(a) terms eliminated .

Now take ln(r') common from first column .

You left with

| p-1 p 1 |

| q-1 q 1 |

| r-1 r 1 |

Just subtract third column from second .

Both column first and second will be same so determinant will be zero