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Q.

If A≠I is an idempotent matrix then A is

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a

Skew symmetric matrix

b

symmetric matrix

c

singular matrix

d

non singular matrix

answer is A.

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Detailed Solution

Given A=I → A-I≠0
A is Idempotent
⇒A2=A
⇒A2-A=0
⇒A(A-I)=0
⇒A=0
⇒det A =0
⇒A is singular

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