Home
Class 12
MATHS
[" 23.For the matrix,"A=[[1,-1],[2,3]]" ...

[" 23.For the matrix,"A=[[1,-1],[2,3]]" .show that "a^(2)-4A+5I=],[" 0and also find "A^(-1)" ."]

Promotional Banner

Similar Questions

Explore conceptually related problems

For the matrix,A=[[1,-12,3]] show that A^(2)-4A+5I=0 and also find A^(-1)

For the matrix A=[[2,31,2]] show that A^(2)-4A+I=0 Hence find A^(-1)

For the matrix A= [[1,1,1],[1,2,-3],[2,-1,3]] show that A^3-6A^2+5A+11I=0. Hence, find A^(-1)

For the matrix A=[{:(1,2,2),(2,1,2),(2,2,1):}] . Show that A^2-4A-5I=0 Hence find A^(-1)

For the matrix A=det[[1,1,11,2,-32,-1,3]], then that A^(3)-6A^(2)+5A+4I=0., find A^(-1)

For the matrix A = {:[(1,-1),(3,2)] , show that A^2-4A+7I=O . Hence, obtain A^-1 .

For the matrix A=[{:(2,3),(1,2):}] , show that A^2-4A+I_2=0 . Hence, find A^(-1)

Show that the matrix A=[122212221] satisfies the equation A^(2)-4A-5I_(3)=O and hence find A^(-1) .

Show that the matrix A=[{:(2,3),(1,2):}] satisfies the equation A^(2)-4A+I=O and hence, find A^(-1) .