Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

For what value of x will |adj A| =11 if A = \(\begin{bmatrix}x^2 & 4\\4 & x \end{bmatrix}\)?

Options:

-3

3

0

None of tehse

Correct Answer:

3

Explanation:

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

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

11 = |A|

11 = \( { x }^{ 3 } -16\)

27 = \( { x }^{ 3 } \)

x=3