If A = [1&3 4&2] , B = [2&-1 1&2] , Then | ABB'| =

Question

If A = [1&3 4&2] , B = [2&-1 1&2] , Then | ABB'| = (A) 100 (B) 50 (C) -250 (D) 48

Tardigrade Admin · Accepted Answer

A=[ beginmatrix1&3 4&2 endmatrix] B=[ beginmatrix2&-1 1&2 endmatrix] B'=[ beginmatrix2&1 -1&2 endmatrix] |ABB'|=|A||B||B'|=(2-12)×(4+1)×(4+1) =-10×5×5=-250

Q. If $A = [1432], B = [21 - 1 2]$ , Then | ABB'| =

100

50

-250

48

$A = [1432] B = [21 - 1 2] B^{'} = [2 - 1 12]$
$∣ A B B^{'} ∣ = ∣ A ∣ ∣ B ∣ ∣ B^{'} ∣ = (2 - 12) \times (4 + 1) \times (4 + 1)$
$= - 10 \times 5 \times 5 = - 250$

Q. If A=[14​32​],B=[21​−12​] , Then | ABB'| =

100

50

-250

48

A=[14​32​]B=[21​−12​]B′=[2−1​12​] ∣ABB′∣=∣A∣∣B∣∣B′∣=(2−12)×(4+1)×(4+1) =−10×5×5=−250

Q. If $A = [1432], B = [21 - 1 2]$ , Then | ABB'| =

$A = [1432] B = [21 - 1 2] B^{'} = [2 - 1 12]$
$∣ A B B^{'} ∣ = ∣ A ∣ ∣ B ∣ ∣ B^{'} ∣ = (2 - 12) \times (4 + 1) \times (4 + 1)$
$= - 10 \times 5 \times 5 = - 250$