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###### Ankur posted an Question
January 14, 2021 • 15:50 pm 30 points
• IIT JAM
• Mathematics (MA)

## Let a = [ a, 1 be an nxn complex matrix and let a denote the conjugate transpose of a. which of the following statements are necessarily true? if a is invertibl

Let A = [ a, 1 be an nxn complex matrix and let A denote the conjugate transpose of A. Which of the following statements are necessarily true? If A is invertible, then tr (A A) # O,i e, the trace of A A is non zero If tr (AA) # 0, then A is invertible If tr (AA)I, then | a, 1 If tr (AA) = 0, then A is the zero matrix

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• ##### Anonymous User

if u satisfied with answer then accept it as a best answer

• ##### Anonymous User

so dear Ankur here u are taking a non invertiable matrix

okk sir got it

but sir it is not given that A is invertible

in second option

see the attachment

See pdf

• ##### Anonymous User

See attachment below

please attach PDF it is not visible clear

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