IIT JEE MATRICES If `Z` is an idempotent matrix, then `(I+Z)^n` `I+2^n Z` b. `I+(2^n-1)Z` c. `I...

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If \( Z \) is an idempotent matrix, then \( (I+Z)^{n} \).... If \( Z \) is an idempotent matrix, then \( (I+Z)^{n} \)....
If Z\nis an idempotent matrix, then (I+Z)^n\n\nI+2^n Z\nb. I+(2^n-1)Z\n\nc. I-(2^n-1)Z\nd. none ... If Z\nis an idempotent matrix, then (I+Z)^n\n\nI+2^n Z\nb. I+(2^n-1)Z\n\nc. I-(2^n-1)Z\nd. none ...
If Z is an idempotent matrix, then (I+Z)^n (1) I+2^n Z (2) I+(2^n-1) Z (3) I-(2^n-1) Z (4) none o... If Z is an idempotent matrix, then (I+Z)^n (1) I+2^n Z (2) I+(2^n-1) Z (3) I-(2^n-1) Z (4) none o...
If A is idempotent matrix, then show that `(A+I)^(n) = I+(2^(n)-1) A, AAn in N,` where I is the If A is idempotent matrix, then show that `(A+I)^(n) = I+(2^(n)-1) A, AAn in N,` where I is the
If B is an idempotent matrix, and A=I-B, then (1) A^2=A (2) A^2=I (3) A B=O (4) B A=O If B is an idempotent matrix, and A=I-B, then (1) A^2=A (2) A^2=I (3) A B=O (4) B A=O
If `A=[[2,-2,-4],[-1,3,4],[1,-2,-3]]` then A is `1) an idempotent matrix 2) nilpotent matrix ... If `A=[[2,-2,-4],[-1,3,4],[1,-2,-3]]` then A is `1) an idempotent matrix 2) nilpotent matrix ...
A square matrix \( A \) is said to be an idempotent matrix if \( A^... A square matrix \( A \) is said to be an idempotent matrix if \( A^...
Matrix(Idempotent/Nilpotent/Involutory/Periodic)|PART-6 | IIT-JEE 2021|AJAY SIR |B.tech. IIT-KANPUR| Matrix(Idempotent/Nilpotent/Involutory/Periodic)|PART-6 | IIT-JEE 2021|AJAY SIR |B.tech. IIT-KANPUR|