If a is an invertible matrix of order 2 and det
a.= 4 then write the value of det a 1
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We know that A^(-1) = adjA / |A|
so |A^(-1)| = |adj A | /|A| = |A|/ |A| = 1
{|adjA| = |A|^ (n-1) where n is the order of matrix}
so |A^(-1)| = |adj A | /|A| = |A|/ |A| = 1
{|adjA| = |A|^ (n-1) where n is the order of matrix}
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1
given matrix 2×2,
| A|= 4
A. A^-1 = I
|AA^-1|=I
|A|.|A^-1|=|I|
|A|.|A^-1|= 1
| A^-1|= 1/|A|
|A^-1|= 1/4
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