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in Linear Equations by (49.9k points)
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If A is an invertible square matrix then |A-1│=?

A. │A│ 

B. 1/|A|

C.

D. 0

1 Answer

+1 vote
by (55.0k points)
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Best answer

We know that AA-1 = 1

Taking determinant both sides 

│AA-1│ = │I│ 

│A││A-1│ = │I│ (│AB│=│A││B│) 

│A││A-1│ = 1 (│I│ = 1)

|A-1| = 1/|A|

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