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Engineering Maths · Q174

Linear Algebra

Engineering and GATE · Engineering Maths · question 174

Q174

A is m × n full rank matrix with m > n and I is an identity matrix. Let matrix A' = (ATA)-1AT, Then, which one of the following statement is TRUE?

A is m × n full rank matrix with m > n and is an identity matrix. Let matrix A' = (ATA)-1AT, Then, which one of the following statement is TRUE?
A.
AA' A = A
Answer
B.
(AA')2 = A
C.
AA'A =
D.
AA'A = A'

Answer: Option A

Solution

Answer: Option A
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