Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

For what value of x will |A| =-4 if A = \(\begin{bmatrix}x & -x\\5 & x \end{bmatrix}\)?

Options:

x=1

x=4

Both (a) and (b)

None of these

Correct Answer:

Both (a) and (b)

Explanation:

|A| = -4

-4 = \( { x }^{ 2 } -5x\)

\( { x }^{ 2 }- 5x\)+4 = 0

(x-1)(x-4) = 0

x=1 and x=4