Practicing Success
Practicing Success
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If B is a non-singular 4 × 4 matrix and A is its adjoint such that $|A| = 125$, then $|B|$ is |
5 25 125 625 |
5 |
$A = adj\, B$ We know that $|A| = |adj\, B| = 125$ so $B\, adj\, B = |B|I_{4 × 4}$ applying mod we get $|B||adj\, B|=|B|^4$ so $125 = |B|^3$ so $|B|=5$ |
