" If "A^(2)+mA+nl=0" then "A^(-1)=

If A is a square matrix such that |A| ne 0 and m, n (ne 0) are scalars such that A^(2)+mA+nI=0 , then A^(-1)=

If A is a square matrix such that |A| ne 0 and m, n (ne 0) are scalars such that A^(2)+mA+nI=0 , then A^(-1)=

If A^(2)+mA+nI=O" and n "ne0,|A|ne0," then "A^(-1)=

If A&B are square matrices such that A+B=I , AB=1 , and A^(6)-3A^(5)+3A^(4)-A^(3)+A^(2)-A = nl ,then n^(2) is equal to

If x/(lm - n^(2)) = y/(mn - l^(2)) = z/(nl - m^(2)) , then show that lx + my + nz = 0 .

If x/(lm - n^(2)) = y/(mn - l^(2)) = z/(nl-m^(2)) , then prove that lx + my + nz = 0 .

If the straight line lx+my+n=0 touches the : parabola y^(2)=4ax , prove that am^(2)=nl