Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

For what value of x will |\( -{ A }^{ T } \)| =18 if A = \(\begin{bmatrix}3 & 2\\9 & x \end{bmatrix}\)?

Options:

x=1

x=-1

x=12

x=2

Correct Answer:

x=12

Explanation:

Given that |-\( { A }^{ T } \)| =18

Hence, |-\( { A }^{ T } \)| = 3x-18 = 18

3x = 36

x = 12