If A is a `2 xx 2` matrix and `A^2 = I` where `A!=I` and `A!=-I` then which of the following is necessarily true?

If a is matrix such that A^(2)+A+2I=O , then which of the following is/are true ?

If a is matrix such that A^(2)+A+2I=O , then which of the following is/are true ?

If A is matrix such that A^(2) +A + 2I = O then which of the following is not true ?a)A is symmetric b)A is non - singular c) |A| ne O d) A^(-1) = - (1)/(2) (A+ I)

Find a 2xx2 matrix A where a_(ij)=i+j

If A is a matrix such that A^(2)+A+2I=O the which of the following is/are true? A is non-singular A is symmetric A cannot be skew- symmetric A^(-1)=-(1)/(2)(A+I)

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

If A=[a_(i j)] is a 2xx2 matrix such that a_(i j)=i+2j , write A .