If `I_n` is the identity matrix of order n then `(I_n)^-1` (A) does not exist (B) `=0` (C) `=I_n` (D) `=nI_n`

If I_n is the identity matrix of order n, then rank of I_n is

If I_3 is the identity matrix of order 3 then I_3^-1 is (A) 0 (B) 3I_3 (C) I_3 (D) does not exist

If A is a square matrix of order n and A A^T = I then find |A|

A square matrix M of order 3 satisfies M^(2)=I-M , where I is an identity matrix of order 3. If M^(n)=5I-8M , then n is equal to _______.

If d is the determinant of a square matrix A of order n , then the determinant of its adjoint is d^n (b) d^(n-1) (c) d^(n+1) (d) d

Let A be an orthogonal non-singular matrix of order n, then |A-I_n| is equal to :

If B_(0)=[(-4, -3, -3),(1,0,1),(4,4,3)], B_(n)=adj(B_(n-1), AA n in N and I is an identity matrix of order 3, then B_(1)+B_(3)+B_(5)+B_(7)+B_(9) is equal to

Column I, Column II If A is an idempotent matrix and I is an identity matrix of the same order, then the value of n , such that (A+I)^n=I+127 is, p. 9 If (I-A)^(-1)=I+A+A^2++A^2, then A^n=O , where n is, q. 10 If A is matrix such that a_(i j)-(i+j)(i-j),t h e nA is singular if order of matrix is, r. 7 If a non-singular matrix A is symmetric, show that A^(-1) . is also symmetric, then order A can be, s. 8

Matrix A such that A^2=2A-I ,w h e r eI is the identity matrix, the for ngeq2. A^n is equal to 2^(n-1)A-(n-1)l b. 2^(n-1)A-I c. n A-(n-1)l d. n A-I

Matrix A such that A^2=2A-I ,w h e r eI is the identity matrix, the for ngeq2. A^n is equal to 2^(n-1)A-(n-1)l b. 2^(n-1)A-I c. n A-(n-1)l d. n A-I