Home
Class 12
MATHS
Use elementary column operation on apply...

Use elementary column operation on applying `C_2 ->C_2+2C_1`
in the following matrix equation : `[(2 ,1),( 2, 0)]=[(3, 1),( 2, 0)][(1, 0),(-1, 1)]`

Text Solution

Verified by Experts

Given, `[(2 ,1),( 2, 0)]=[(3, 1),( 2, 0)][(1, 0),(-1, 1)]` on applying `C_2 ->C_2+2C_1`
`[(2 ,1+4),( 2, 0+4)]=[(3, 1),( 2, 0)][(1, 0+2),(-1, 1+2)]`
`[(2 ,5),( 2, 4)]=[(3, 1),( 2, 0)][(1 ,2),(-1, -1)]`
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

Use elementary column operation C_(2)rarr C_(2)+2C_(1) in the following matrix equation :([2,12,0])=([3,12,0]),([1,0-1,1])

On usign elementry column operation C_(2)rArrC_(2)-2C_(1) in the following matrix equation [{:(1,-3),(2,4):}]=[{:(1,01),(0,1):}][{:(3,1),(2,4):}] , we have

Use elementary column operation C2 -> C2 -2C1 in the matrix equation [[4 ,2],[ 3, 3]]=[[1, 2 ],[0, 3]][[2 ,0],[ 1 ,1]]

Apply elementary transformation R_2->R_2-3R_1 in the matrix equation [11-6 6-4]=[1 3 0 2][2 0 3-2]

Using elementary transformations, find the inverse of the following matrix [(2,-1,4),(4,0,2),(3,-2,7)]

Find the inverse of the following matrix using elementary operations: 1,2,-2-1,3,00,-2,1]]

Obtain the inverse of the following matrix using elementary operations A=[0 1 2 1 2 3 3 1 1] .

Find the inverse of the following matrix by elementary row transformation method : [[1,0,1],[0,2,3],[1,2,1]]

Find the inverse of the following matrix using elementary operation: [[1,3,-2],[-3,0,-5],[2,5,0]]