For the matrix `A=[(1,1,0),(1,2,1),(2,1,0)]` which of the following is correct? (A) `A^3+3A^2-I=0` (B) `A^3-3A^2-I=0` (C) `A^3+2A^2-I=0` (D) `A^3-+A^2-+I=0`

Let A be a 3xx3 matrix satisfying A^3=0 , then which of the following statement(s) are true (a) |A^2+A+I|!=0 (b) |A^2-A+O|=0 (c) |A^2+A+I|=0 (d) |A^2-A+I|!=0

If A=[(1,0,0),(0,2,1),(1,0,3)] then (A-I)(A-2I)(A-3I)=

Let A be a 3xx3 matrix satisfying A^3=0 , then which of the following statement(s) are true (a)|A^2+A+I|!=0 (b) |A^2-A+O|=0 (c)|A^2+A+I|=0 (d) |A^2-A+I|!=0

If A=[{:(2,0,1),(2,1,3),(1,-1,0):}] then find the value of A^(2)-3A+2I

If A=[{:(,1,1,2),(,0,2,1),(,1,0,2):}] show that A^(3)=(5A-I)(A-I)

If A=[{:(,1,1,2),(,0,2,1),(,1,0,2):}] show that A^(3)=(5A-I)(A-I)

If A=((1,0,0),(0,2,1),(1,0,3)) then (A-I)(A-2I)(A-3I)=

If A={:[(2,0,1),(1,0,-1),(0,-1,1)]:}, find the matrix for the polynomial A^(2)-4A+3I.