Home
Class 12
MATHS
If A=[{:(3,1),(-1,2):}] then prove that ...

If `A=[{:(3,1),(-1,2):}]` then prove that `A^(2)-5A+7I=O`

Text Solution

Verified by Experts

The correct Answer is:
`A^(-1) = (1)/(7) [{:(2,-1),(1,3):}]`
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2

    ARIHANT PUBLICATION|Exercise Short Answer Type Questions|25 Videos
  • SAMPLE PAPER 1

    ARIHANT PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|13 Videos
  • SAMPLE PAPER 3

    ARIHANT PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS |13 Videos

Similar Questions

Explore conceptually related problems

If A=[{:(2,3),(1,2):}] , then prove that A^(3)-4A^(2)+A=O .

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

If A=[{:(1,0),(-1,7):}] , thenfind k such that A^(2)-8A+kI=O .

If A=[{:(1,0,2),(0,2,1),(2,0,3):}] , then prove that A is a root of the polynomial f(x)=x^(3)-6x^(2)+7x+2 .

If A=[{:(2,0,1),(2,1,3),(1,-1,0):}] , then find A^(2)-5A+6I .

If A =[[1,2,2],[2,1,2],[2,2,1]] then prove that A^2-4A-5I=0 .