Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

For what value of x will |adj A| =-20 if A = \(\begin{bmatrix}1 & 3\\2 & 2x \end{bmatrix}\)?

Options:

7

-41

-7

None of these

Correct Answer:

-7

Explanation:

|adj A| = \( { |A| }^{ n-1 } \)

-20 = \( { |A| }^{ 2-1 } \)

-20 = |A|

-20= 2x-6

2x= -14

x=-7