Hello Naveen We have |A|, we need to find |A-1| We know that AA-1 = I Taking determinant both sides |A A-1| = |I| Determinant of Identity Matrix (I) = 1 |A A-1| = 1 |A| |A-1| = 1 |A-1| = 1/

Answer of this question

If A is A invertible matrix of 3x3 and |A|=7 find |A inverse|

Davneet Singh

Hello Naveen

We have |A|, we need to find |A^-1|

We know that

AA-1 = I

Taking determinant both sides

|A A^-1| = |I|

Determinant of Identity Matrix (I) = 1

|A A^-1| = 1

|A| |A^-1| = 1

|A^-1| = 1/|A|

|A^-1| = 1/7

Written on Nov. 18, 2017, 11:56 a.m.

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Class 6