Home
Class 12
MATHS
If A=[(3, 1),(-1 ,2)] , show that A^2-5A...

If `A=[(3, 1),(-1 ,2)]` , show that `A^2-5A+7I=O` . Hence, find `A^(-1)` .

Promotional Banner

Similar Questions

Explore conceptually related problems

If A=[(3, 1),( 1, 2)] , show that A^2-5A+5I=0 . Hence, find A^(-1) .

If A=[[3, 1],[-1, 2]] , show that A^2-5A+7I=0

If A=[[3 ,1],[-1, 2]] , show that A^2-5A+7I^2=O .

If A=[[3, 1],[-1 ,2]] , show that A^2-5A+7I=O . Use this to find A^4

If A=[{:(1,-1),(2,3):}] , shown that A^(2)-4A+5I=o . Hence Find A^(-1) .

If A=[(2,-3),(3,4)], show the A^2-6A+17I=0. Hence find A^-1

If A=[[3,1],[-1,2]], I=[[1,0],[0,1]] and O=[[0,0],[0,0]] , show that A^2-5A+7I=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+11\ I_3=O . Hence, find A^(-1) .

If A=[{:(1,2,2),(2,1,2),(2,2,1):}] , then show that A^(2)-4A-5I_(3)=0 . Hemce find A^(-1) .

For the matrix A=[{:(,3,2),(,1,1):}] Find a & b so that A^(2)+aA+bI=0 . Hence find A^(-1)