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`

Let M be a 3xx3 matrix satisfying M^(3)=0 . Then which of the following statement(s) are true:

Let M be a 3xx3 matrix satisfying M^(3)=0 . Then which of the following statement(s) are true: (a) |M^(2)+M+I|ne0 (b) |M^(2)-M+I|=0 (c) |M^(2)+M+I|=0 (d) |M^(2)-M+I|ne0

Let A be a 3xx3 matrix such that A^(2)-5A+7I=0 then which of the statements is true

Let A be a 3xx3 matrix such that A^2-5A+7I=0 then which of the statements is true

14.Let M be a 3times3 matrix satisfying M^(3)=0 .Then which of the following is TRUE? (|A| represent determinant of A ). a) If |M+I|=1 then |M^(2)-M+I|=1 b) If |M+I|=1 then |M^(2)-M+1|=0 c) If |M-I|=1 then |M^(2)+M+I|=1 d) If |M-I|=1 then |M^(2)+M+I|=0

Let A be a square matrix satisfying A^(2)+5A+5I=0 . The inverse of A+2I is equal to :

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

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 such that A^2-5A+7I=0 then which of the statements is true. Statement I: A^-1 = 1/7(5I-A) Statement II: The polynomial A^3-2A^2-3A+I can be reduced to 5(A-4I) . Then: