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For what value of x will |\( -{ A }^{ T } \)| =18 if A = \(\begin{bmatrix}3 & 2\\9 & x \end{bmatrix}\)? |
x=1 x=-1 x=0 x=2 |
x=0 |
Given that |-\( { A }^{ T } \)| =18 Also, |\(- { A }^{ T } \)| = \((-1)^{ 2 } \) |\( { A }^{ T } \)| = \((-1)^{ 2 } \) |A | = |A| Because |\( { A }^{ T } \) = |A | So, 18 = |A| 18= 3x-18 0= 3x 0=x |
