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Home  >>  CBSE XII  >>  Math  >>  Model Papers

if A is an invertible matrix of order 3 and |A|=5, then find |adj.A|.

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  • $|adj A|=|A|^{n-1}$
Given:|A|=5 and order n=3.
We know |adj A|=$|A|^{n-1}$
Here n=3.
$|adj A|=|A|^{3-1}$
Therefore $|adj\; A|=5^2$
Hence |adj A|=25.


answered Mar 11, 2013 by sreemathi.v