Practicing Success
If A = \(\begin{bmatrix}3 & 3\\6 & 8 \end{bmatrix}\), then what can be said about 24\( { A }^{ -1 } \)? |
24\( { A }^{ -1 } \) = 4 (adj A) 24\( { A }^{ -1 } \) = 3 (adj A) 24\( { A }^{ -1 } \) = 24 (adj A) None of these |
24\( { A }^{ -1 } \) = 4 (adj A) |
\( { A }^{ -1 } \) =\(\frac{adj A}{|A|}\) But |A| = 6 So, \( { A }^{ -1 } \) =\(\frac{adj A}{6}\) 24 \( { A }^{ -1 } \) = 24 \(\frac{adj A}{6}\) = 4 (adj A) |