SOLUTION: suppose A is an invertible n x n matrix .Which of the following is true/are true a.(A minus 1)minus 1= A b. det(A minus 1)= (det A)minus 1

Algebra ->  Matrices-and-determiminant -> SOLUTION: suppose A is an invertible n x n matrix .Which of the following is true/are true a.(A minus 1)minus 1= A b. det(A minus 1)= (det A)minus 1      Log On


   



Question 843912: suppose A is an invertible n x n matrix .Which of the following is true/are true
a.(A minus 1)minus 1= A
b. det(A minus 1)= (det A)minus 1

Answer by Fombitz(32388) About Me  (Show Source):
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a) The inverse of the inverse of A is A. True, by definition.
b) The determinant of the inverse of A is the reciprocal of the determinant of A. True.