Home
Class 12
MATHS
Find a 2xx2 matrix B such that B[(1,-2...

Find a `2xx2` matrix `B` such that `B[(1,-2),( 1, 4)]=[(6, 0),( 0, 6)]` .

Text Solution

Verified by Experts

Let `B=[[a,b],[c,d]]`
Then,
`[[a,b],[c,d]][[1,−2],[1,4]]=[[6,0],[0,6]]`
`=>[[a+b ,−2a+4],[b−2,c+4d]]=[[6,0],[0,6]]`
`=>a+b=6->(1)`
`=>−2a+4b=0⇒a=2b`
Putting `a=2b` in (1),
`=>2b+b=6⇒b=2`
...
Promotional Banner

Topper's Solved these Questions

  • ADJOINTS AND INVERSE OF MATRIX

    RD SHARMA|Exercise QUESTION|1 Videos

  • ALGEBRA OF MATRICES

    RD SHARMA|Exercise Solved Examples And Exercises|410 Videos

Similar Questions

Explore conceptually related problems

Find a 2x2 matrix B such that B[[1,-21,4]]=[[6,00,6]]

Find a 2xx2 matrix B such that [[5,4],[1,1]] B=[[1,-2],[1,3]]

Find a 2xx2 matrix B such that [[6,5],[5,6]] B=[[11,0],[0,11]]

Find the matrix A such that : [(1 ,0 ),(0 ,1)]A=[(3 ,3 ,5 ),(1, 0 ,1)] (ii) A[(1, 2, 3 ),(4, 5 ,6)]=[(-7,-8,-9 ),(2, 4 ,6)]

If A is any 2 xx matrix such that [{:(1,2),(0,3):}]A=[{:(-1,0),(6,3):}] then what is A equal to ?

Find a matrix B of order 2xx2 such that : [{:(1,1),(-2,3):}]B=[{:(3,4),(-1,2):}]

" ).Find the Matrix A such that "A|[1,2],[-1,0]|=|[3,4],[-1,6]|

find the matrix X such that AX=B where A=det[[1,2-1,3]],B=det[[0,12,4]]

Find a matrix X such tht 3A-2B+X=0, where A=[[4,2],[1,3]] , B= [[-2,1], [3,2]]