Home
Class 12
MATHS
If A=[{:(0,1,1),(1,0,1),(1,1,0):}] show ...

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

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    FULL MARKS|Exercise EXERCISE -1.2|3 Videos
  • APPLICATIONS OF MATRICES AND DETERMINANTS

    FULL MARKS|Exercise EXERCISE -1.3|5 Videos
  • APPLICATIONS OF MATRICES AND DETERMINANTS

    FULL MARKS|Exercise EXAMPLE QUESTIONS SOLVED|10 Videos
  • APPLICATIONS OF INTEGRATION

    FULL MARKS|Exercise ADDITIONAL PROBLEMS|35 Videos
  • APPLICATIONS OF VECTOR ALGEBRA

    FULL MARKS|Exercise Additional Questions Solved|59 Videos

Similar Questions

Explore conceptually related problems

If A=[{:(1,0,0),(1,0,1),(0,1,0):}] , then

If A=[{:(2,-1,1),(-1,2,-1),(1,-1,2):}] verify that A^(3)-6A^(2)+9A-4I=0 and hence find A^(-1) .

If A={:((3,1),(-1,2)):} show that A^(2)-5A+7I_(2)=0

If A [{:(1,2,2),(2,1,2),(2,2,1):}] , show that A^2 -4A -5I =0

If A= [(2,3,1),(1,0,2),(2,1,0)] compute A^(2) .

A= [(0,-2,1),(2,0,-4),(-1,0,0)] then A is

If A= {:[( 1,0,1),(0,1,2),(0,0,4)]:} ,then show that |3A| =27|A|

Given A=[{:(1,-1,2),(3,0,-2),(1,0,3):}] verify that A(adjA)_=(adjA)A=|A|I_(3) .

If A=[(1,0,2),(0,2,1),(2,0,3)] , prove that A^(3)-6A^(2)+7A+2I=0

If A=[(2,-1),(1,1)],B=[(1,0),(2,-2)],C=[(3,1),(-1,2)] Show that (i)(A+B)+C=A+(B+C). (ii)(AB)C=A(BC).