Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

If A = \(\begin{bmatrix}3 & 4\\6 & 8 \end{bmatrix}\), then what can be said about 18 \( { A }^{ -1 } \)?

Options:

18\( { A }^{ -1 } \) = 9 (adj A)

18\( { A }^{ -1 } \) = 2 (adj A)

18\( { A }^{ -1 } \) = 18 (adj A)

None of these

Correct Answer:

None of these

Explanation:

A = \(\begin{bmatrix}3 & 4\\6 & 8 \end{bmatrix}\),

|A| = 0

So, \( { A }^{ -1 } \) does not exist