If `A^2+A+I=0` , then A is non-singular `A!=0` (b) A is singular `A^(-1)=-(A+I)`

If A, B are two n xx n non-singular matrices, then (1) AB is non-singular (2) AB is singular (3) (AB)^(-1)=A^(-1) B^(-1) (4) (AB)^(-1) does not exist

If A,B are two n xx n non-singular matrices, then (1)AB is non-singular (2)AB is singular (3)(AB)^(-1)=A^(-1)B^(-1)(4)(AB)^(-1) does not exist

Let A and B be two matrices of order n xx n. Let A be non-singular and B be singular. Consider the following : 1. AB is singular 2. AB is non-singular 3. A^(-1) B is singular 4. A^(-1) B is non singular Which of the above is/are correct ?

If A is non-singular A^(2)-5A+7I=0 then I=

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)

If A is a non-singular matrix,prove that: adjA is also non - singular (adjA)^(-1)=(1)/(|A|)A

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 is non-singular matrix and (A+I)(A-I) = 0 then A+A^(-1)= . . .

If A is non- singular martix and (A +l)(A-l) = 0 then A A^(-1) = …….

If A and Bare two non-zero square matrices of the same order, such that AB=0, then (a) at least one of A and B is singular (b) both A and B are singular (c) both A and B are non-singular (a) none of these