If `A=I` then `det(I+A)=`

Assertion: If A!=I and A!=-I, then det A=-1 , Reason: If A!=I and A!=-I , then tr(A)!=0 (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) both A and R is false.

Assertion: If A!=I and A!=-I, then det A=-1 , Reason: If A!=I and A!=-I , then tr(A)!=0 (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) both A and R is false.

Consider the following statements : 1. If det A = 0, then det (adj A) = 0 2. If A is non-singular, the det(A^(-1)) = (det A)^(-1)

Consider the following statements : 1. If det A = 0, then det (adJ A) = 0 2. If A is non-singular, then det (A^(-1)) = (det A)^(-1)

If A=I is 2x2 matrix then det(I+A)=

Let A be a 2xx2 matrix with real entries. Let I be the 2xx2 identity matrix. Denote by tr (A), the sum of diagonal entries of A. Assume that A^2=""I . Statement 1: If A!=I and A!=""-I , then det A""=-1 . Statement 2: If A!=I and A!=""-I , then t r(A)!=0 .

If A is a square matrix of order 3 and A' denotes transpose of matrix A, A'.A^-1=I and det A=1, then det (A-1) must not equal to.

If A is a square matrix of order 3 and A' denotes transpose of matrix A , A'.A^-1=I and det A=1 , then det (A^-1) must not equal to____ .