यदि `A = [(2,-1),(-1,2)]` हो, तो सिद्ध कीजिये कि `A^(2) -4A + 3I = O`

If A=[(2,-1),(-1,2)] , then show that A^(2) -4A +3I=O .

If A = {:[(2,-1),(-1,2)] , verify A^2 - 4A + 3I = O , where 1 = {:[(1,0),(0,1)] and O = {:[(0,0),(0,0)] , Hence find A^-1

If A = [(2, -2),(-3,1)] , then show that ( A + I) ( A - 4 I) = O

Let A = {:[(2,3),(-1,2)] . Then show that A^2 - 4A + 7I = O .

If A = {:[(1,2),(0,1)], B = [(1,-3),(2,4)] and C = [(1,-1),(-1,2)] then prove that : A^2 - 2A + I = O

If A = [(1,2,2),(2,1,2),(2,2,1)] then show that A^(2)-4A-5I = O .

If A=[{:(2,-1),(-1,2):}] , verify A^(2)-4A+3I=0 , where I=[{:(1,0),(0,1):}] and O=[{:(0,0),(0,0):}] . Hence find A^(-1) .

Show that the matrix A = [(2,3),(1,2)] satisfies the equations A^2 - 4A +I = O . Hence find A^-1

If A = {:[(1,2,3),(3,-2,1),(4,2,1)] , then show that : A^2 - 23 A - 40 I ne O

If A = ({:( 1,2,3),( 2,1,2),( 2,2,1) :}) and A^(2) -4A -5l =O where I and O are the unit matrix and the null matrix order 3 respectively if , 15A^(-1) =lambda |{:( -3,2,3),(2,-3,2),(2,2,-3):}| then the find the value of lambda