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CUET
-- Mathematics - Section B1
Determinants
For what value of x will |\( -{ A }^{ T } \)| =18 if A = \(\begin{bmatrix}3 & 2\\9 & x \end{bmatrix}\)?
x=1
x=-1
x=12
x=2
Given that |-\( { A }^{ T } \)| =18
Hence, |-\( { A }^{ T } \)| = 3x-18 = 18
3x = 36
x = 12