Home
Class 10
MATHS
If A= [{:(2, -5), (0, 1):}]" and I" = [{...

If `A= [{:(2, -5), (0, 1):}]" and I" = [{:(1, 0), (0, 1):}]` then find the matrix X such that 4A-2X + I = O.

Text Solution

Verified by Experts

The correct Answer is:
`[{:((9)/(2), -10), (0, (5)/(2)):}]`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    PEARSON IIT JEE FOUNDATION|Exercise ESSAY TYPE QUESTIONS|5 Videos

  • MATRICES

    PEARSON IIT JEE FOUNDATION|Exercise EXERCISE CONCEPT APPLICATION (LEVEL 1)|30 Videos

  • MATRICES

    PEARSON IIT JEE FOUNDATION|Exercise EXERCISE (VERY SHORT ANSWER TYPE QUESTIONS)|30 Videos

  • MATHEMATICAL INDUCTION AND BIONOMIAL THEOREM

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 3|15 Videos

  • MENSURATION

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|21 Videos

Similar Questions

Explore conceptually related problems

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

If A = [(2,0),(0,1)] and B = [(1),(2)] then find the matrix X such that A^(-1) X = B

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

If A = [(1,0,1),(0,2,3),(1,2,1)]and B = [(1,2,3),(1,1,5),(2,4,7)] , then find the matrix X such that XA = B

If A=[[1,3,2],[-1,2,0],[0,-1,1]] , then find a matrix X such that A^(2)-2A-X=0

If A=[[3,0],[0,4]],B=[[2],[1]] , then find matrix X such that A^(-1)X=B

Let I = [{:(1, 0, 0),(0 ,1, 0),(0,0,1):}] and P = [{:(1, 0, 0),(0 ,-1, 0),(0,0,-2):}] . Then the matrix p^(3) + 2P^(2) is equal to

If A=[(3,-2),(4,-2)] and I=[(1,0),(0,1)] , find k so that A^(2)=kA-2I .

If A=[{:(2,0,1),(2,1,3),(1,-1,0):}] . find A^(2)-5A+6I and hence , find a matrix X such that A^(2)-5A+6I+X=O .

If A=[(5,2),(-1,2)] and I=[(1,0),(0,1)] show that : (A-3I)(A-4I)=O