Home
Class 12
MATHS
If A = [[1,2],[3,-5]] and B=[[1,0],[0,2]...

If `A = [[1,2],[3,-5]]` and `B=[[1,0],[0,2]]` and X is a matrix such that `A=BX`, then X=

Text Solution

Verified by Experts

The correct Answer is:
`X=1/2 [(2,4),(3,-5)]`
Let `X=[(a,b),(c,d)]`
then `[(1,2),(3,-5)]=[(1,0),(0,2)][(a,b),(c,d)]=[(a,b),(2c,2d)]`
`:. a=1, b=2, 2c=3, 2d=-5`
`:. X=[(1,2),(3//2,-5//2)]=1/2 [(2,4),(3,-5)]`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    CENGAGE|Exercise Exercise 13.4|12 Videos

  • MATRICES

    CENGAGE|Exercise Exercise 13.5|17 Videos

  • MATRICES

    CENGAGE|Exercise Exercise 13.2|6 Videos

  • MATHMETICAL REASONING

    CENGAGE|Exercise JEE Previous Year|10 Videos

  • METHODS OF DIFFERENTIATION

    CENGAGE|Exercise Multiple Correct Answer Type|7 Videos

Similar Questions

Explore conceptually related problems

Given A=[{:(1,-1),(2,0)],B=[(3,-2),(1,1)]andC[(1,1),(2,2):}] , find a matrix X such that AXB=C.

Given A = A=[{:(1,-1),(2,0):}],B= [(3,-2),(1,1)] "and" " "C= [{:(1,1),(2,2):}] , find a matrix X such that AXB = C.

If P=[[1,0,x],[3,0,1],[-1,-2,4]] is the adjoint of (3xx3) matrix A and |A|=4 . Then x is :

If A = [(1,0,0),(0,1,0),(a,b,-1)] , show that A^(2) is a unit matrix.

If P = |(1,x,0),(1,3,0),(2,4,-2)| is the adjoint of 3xx3 matrix A and |A|=4, then x is

If A= [(3,-1,0),(2,1,5)] ,B= [(2,2,1),(3,0,-2)] .Find A+B,2A-B

For the functions f(x) = x^(2) , x in [0, 2] compute the average rate of changes in the subintervals [0,0.5], [0.5, 1], [1, 1.5], [1.5, 2] and the instantaneous rate of changes at the points x = 0.5 , 1, 1.5, 2