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 is unit matrix of order n, then 3I will be

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

Let A be a square matrix of order n. Then; A(adjA)=|A|I_(n)=(adjA)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 _______.

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

Which of the following statements is/are true about square matrix A or order n?(-A)^(-1) is equal to -A^(-1) when n is odd only If A^(n)-O, then I+A+A^(2)+...+A^(n-1)=(I-A)^(-1) If A is skew-symmetric matrix of odd order,then its inverse does not exist.(A^(T))^(-1)=(A^(-1))^(T) holds always.

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

Matrix A such that A^(2)=2A-I, where I is the identity matrix,the for n>=2.A^(n) is equal to 2^(n-1)A-(n-1)l b.2^(n-1)A-I c.nA-(n-1)l d.nA-I

If I_(n)=int sin^(n)x backslash dx, then nI_(n)-(n-1)I_(n-2) equals

If A be a real skew-symmetric matrix of order n such that A^(2)+I=0 , I being the identity matrix of the same order as that of A, then what is the order of A?