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 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 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 3xx3 matrix such that A is orthogonal idempotent then

Let A be 3xx3 matrix such A^(2)-5A+7I=0 statement 1 : A^(-1)=(1)/(7)(5I-A) Statement 2 : The polynomial A^(3)-2A^(2)-3A+I can be reduce to 5 (A-4I) then

Let A be any 3xx 2 matrix show that AA is a singular matrix.

Let A be a 3xx3 square matrix such that A(a d j\ A)=2I , where I is the identity matrix. Write the value of |a d j\ A| .

Let M be a 3xx3 invertible matrix with real entries and let I denote the 3xx matrix. If M^(-1) adj(adjM). Then which of the following statements, is/are ALWAYS TRUE ?