If `A` is non-singular and `(A-2I)(A-4I)=0 , then ,1/6A+4/3A^(-1)` is equal to a.`0I ` b. `2I` c. `6I` d. `I`

If A is non-singular and (A-2I)(A-4I)=O ,t h e n1/6A+4/3A^(-1) is equal to O I b. 2I c. 6I d. I

A square non-singular matrix A satisfies A^2-A+2I=0," then "A^(-1) =

Let A be a non - singular symmetric matrix of order 3. If A^(T)=A^(2)-I , then (A-I)^(-1) is equal to

If A is a square matrix such that A^2=I , then (A-I)^3+(A+I)^3-7A is equal to (a) A (b) I-A (c) I+A (d) 3A

Suppose A is any 3 × 3 non-singular matrix and (A -3I) (A-5I)=0, where I=I_3 and O=O_3 . If alphaA + betaA^(-1) =4I , then alpha +beta is equal to :

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

(1+2i+3i^2)/(1-2i+3i^2) equals a. i b. -1 c. -i d. 4

If z=(1+2i)/(1-(1-i)^2), then arg(z) equals a. 0 b. pi/2 c. pi d. non of these

Let A and B are two non - singular matrices of order 3 such that A+B=2I and A^(-1)+B^(-1)=3I , then AB is equal to (where, I is the identity matrix of order 3)