PGEE 2018

Question

let $\left | A \right|=8$ ,$\left | B \right|=3$ ,$\left | C \right|=6$ then what will be value of AB$^{T}$C$^{-1}$

A) 144

B) 0

C) 4

D) 14

Comments

option c?

Answer 1

$Let, AB^{T}C^{-1} = X. $

$AB^{T}C^{-1}C = XC $

$AB^{T} = XC $

$|AB^{T}| = |XC| $

$|A| |B^{T}| = |X| |C| $

$|A| |B| = |X| |C| $

$8*3 = |X| * 6 $

$4 = |X|$

Answer 2

|A|=8 |B|=3 |c|=6

AB^TC^-1

=AB/C

=8*3/6

=4