If A=[{:(,1,1,2),(,0,2,1),(,1,0,2):}] sh...

If `A=[{:(,1,1,2),(,0,2,1),(,1,0,2):}]` show that `A^(3)=(5A-I)(A-I)`

Verified by Experts

The correct Answer is:

` [ax^(2) + by^(2) +cz^(2) +2hxy +2gzx +2fyz]`

Similar Questions

Explore conceptually related problems

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

Find A^(-1) if A=|(0,1,1),(1,0,1),(1,1,0)| and show that A^(-1)=(A^(2)-3I)/2

If A=[{:(1,0,-1),(2,1,3),(0,1, 1):}] then verify that A^(2)+A=A(A+I) , where I is 3xx3 unit matrix.

If A+I={:[(2,2,3),(3,-1,1),(4,2,2)]:} then show that A^(3)-23A-40I=0

(i) if A=[{:(4,-1,-4),(3,0,-4),(3,-1,-3):}], then show that A^(2)=I

if A =[{:(1,0,2),(0,2,1),(2,0,3):}] , prove that A^3-6A^2+7A+2I=0

If A=[(1,2),(2,1)] show that A^(2)-3I=2A

if A[{:(1,3,2),(2,0,3),(1,-1,1):}], then find A^(3)-2A^(2)+A-I_(3).