if A is a square matrix and det A = 2 , then write the value of det AA' where - Maths - Determinants

Question

if A is a square matrix and det A = 2 , then write the value of
det AA' where A' is the transpose of matrix A

Anuradha Sharma · Accepted Answer

As we know that,  det  A A=det
 A A'=det A'A=det  A2 =det A×det
Aso here it is given that, det A= 2 so det
 AA'= 2×2=4

if A is a square matrix and det A = 2 , then write the value of det AA' where A' is the transpose of matrix A.