Practicing Success
Practicing Success
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If A is non-singular square matrix of order 3 and $|A^{-1}|=24, $ then the value of $|2A(adj (3A))|$ is |
$\frac{1}{64}$ $\frac{9}{192}$ $\frac{27}{64}$ $\frac{9}{64}$ |
$\frac{27}{64}$ |
$|A^{-1}|=24$ so $\frac{1}{|A|}=24$ so $|A|=\frac{1}{24}$ $|3A|=\frac{3^3}{24}=\frac{9}{8}$ so $|2A||adj(3A)|=2^3|A||3A|^2$ $=2^3×\frac{1}{24}×\frac{9}{8}×\frac{9}{8}$ $=\frac{27}{64}$ |
