Let a = [ a, 1 be an nxn complex matrix and let a denote the conjugate transpose

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January 14, 2021 • 15:50 pm

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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

ok I already attached
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A
Anonymous User

if u satisfied with answer then accept it as a best answer
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A
Anonymous User

any Doubt u can ask
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sir please see this
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so dear Ankur here u are taking a non invertiable matrix
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okk sir got it
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but sir it is not given that A is invertible
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in second option
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see the attachment
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