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CUET
-- Mathematics - Section B1
Determinants
For what value of x will |A| =-4 if A = \(\begin{bmatrix}x & -x\\5 & x \end{bmatrix}\)?
x=1
x=4
Both (a) and (b)
None of these
|A| = -4
-4 = \( { x }^{ 2 } -5x\)
\( { x }^{ 2 }- 5x\)+4 = 0
(x-1)(x-4) = 0
x=1 and x=4