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Grade 12Algebra

a very simple question....but still its bugging me

if A is a matrix of order 3 and determinant value 6, what is the value of deterinant of inverse of A.

Profile image of Pratik Somani
15 Years agoGrade 12
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1 Answer

Profile image of vikas askiitian expert
15 Years ago

dear prateek  ,

determinany of inverse = 1/determinant)n-1

n is the order of matrix

determinant of inverse of matrix with determinat value 6 is 1/36 ...

 

this resullt can be proved by taking  example of any matrix ....

so if u want to derive this result then take a example of simple matrix & prove....

 

approve if u like my ans