Question

If A is a square matrix of order 3 and |A|=5 then the value of |2A'| is (A) -10 (B) 10 (C) -40 (D) 40​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

If A is a square matrix of order 3 and | A | = 5 then the value of | 2A' | is

(A) -10

(B) 10

(C) -40

(D) 40

FORMULA TO BE IMPLEMENTED

If A is a square matrix of order n then

$\sf{1. \: \: \: | \: k A\: | = {k}^{n} | \:A \: | }$

$\sf{2. \: \: | \: A' \: | = A}$

EVALUATION

$\sf{ |2A'| }$

$= \sf{ {2}^{3} \times |A'| }$

$= \sf{ 8 \times |A| }$

$= \sf{ 8 \times 5}$

$= 40$

FINAL ANSWER

Hence the correct option is (D) 40

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Answer 2

Step-by-step explanation:

Nice answer written above