If A = \(\begin{bmatrix}6 & -2\\2 & 1 \end{bmatrix}\), then what is the value of |\(-4 { A }^{ T } \)|?
Answer & explanation
Correct answer: option 2
If Matrix A has size a × a and k is a constant, then |kA| = \( { k }^{ a } \) |A|
Then, |\(-4 { A }^{ T } \)| = \((-4)^{ 2 } \) |\( { A }^{ T } \)|
= \((-4)^{ 2 } \) |A |
Because |\( { A }^{ T } \) = |A |
|\(-4 { A }^{ T } \)| = 16 |A |
But |A| = 10
|\(-4 { A }^{ T } \)| = 160