Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Algebra

Question:

If A is square matrix of order3 with |A|= 3, then |4 adj A| is equal to :

Options:

432

476

676

576

Correct Answer:

576

Explanation:

The correct answer is Option (4) → 576

$|A|=3$ [Given]

$⇒|Adj\,A|=|A|^{n-1}$  [n = order]

$=|3|^{3-1}=9$

Now,

$|4\,Adj\,A|=(4)^3|Adj\,A|$

$=64×9=576$