Home
Class 12
MATHS
If A=[{:(2,0,1),(2,1,3),(1,-1,0):}] find...

If `A=[{:(2,0,1),(2,1,3),(1,-1,0):}]` find `A^(2)-5A+4I` and find a matrix `X` such that `A^(2)-5A+4I+X=O`

Text Solution

Verified by Experts

The correct Answer is:
`[{:(-1,-1,-3),(-1,-3,-10),(-5,4,2):}],[{:(1,1,3),(1,3,10),(-5,-4,-2):}]`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 6 MARKS |4 Videos
  • MATRICES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK (Type-III : (True or false questions))|34 Videos
  • LINEAR PROGRAMMING

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 6 MARKS |7 Videos
  • PROBABILITY

    ACCURATE PUBLICATION|Exercise SAMPLE QUESTION PAPER -I ( SOLVED ) ( SECTION -D )|6 Videos

Similar Questions

Explore conceptually related problems

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

If A= [[2,0,1],[2,1,3],[1,-1,0]] , find A^2-5A+6I=O

If A = [[2,0,1],[2,1,3],[1,-1,0]] then find A^2-5A+6I .

If A = [[2,0,1],[2,1,3],[1,1,0]] then find A^2-2A+5I .

If A = [(8,0),(4,-2),(3,6)] and B = [(2,-2),(4,2),(-5,1)] , then find the matrix X, such that 2 A + 3 X = B.

If A = {:((0,-1,2),(2,-2,0)) and B = ((0,1),(1,0),(1,1)) , find a matrix C such that CAB = I = ABC, where I is the 2xx2 unit matrix.