If A is an invertible matrix of order 2 then find \left| A ^ { - 1 | Filo
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Class 12

Math

Algebra

Determinants

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If is an invertible matrix of order 2 then find .

Solution:
We have the formula for invertible matrix
AA-1 = I
Take determinant both side we get
|A ||A-1| = 1
Divide by |A| both side we get
|A-1| = 1/|A | 
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