Home
Class 12
MATHS
Find the inverse of the matrix A=[[8, 4,...

Find the inverse of the matrix `A=[[8, 4, 2],[ 4, 9, 4],[ 1, 2, 8]]`

Text Solution

Verified by Experts

Given that,
`A=[[8, 4, 2],[ 4, 9, 4],[ 1, 2, 8]]`
`|A|=8[72-8]-4[32-4]+2[8-9]=64 times 8 +28 times 4 -2=622`
`adj(A)=[[64, -28, -1],[-28, 62, -12],[-2,-24, 64]]^T=[[64, -28,-2],[-28,62,-24],[-1,-12,64]]`
`A^-1= frac{1}{|A|} adj(A)=frac{1}{622} [[64, -28,-2],[-28,62,-24],[-1,-12,64]]`
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 the inverse of the matrix A=[[3,1],[4,2]]

Find the inverse of the matrix [[2,-2],[4,3]]

Find the inverse of the matrix [[1 ,−1, 2],[0, 2, −3],[3, −2 ,4]]

Find the inverse of the matrix 'A=[[1,0,-4],[-2,2,5],[3,1,2]]'

Find the inverse of the matrix [[1,2,3],[2,3,2],[2,3,4]]

Find the inverse of the matrix [[1,3,31,4,31,3,4]]

Find the inverse of the matrix: [[1,2,-1-4,-7,4-4,-9,5]]

Find the inverse of the matrix A = [{:(2, -4), (3, -5):}] .

2.The inverse of the matrix [[2,3],[-4,-5]] is

Using elementary row transformations, find the inverse of the matrix A=[[1,2,3],[2,5,7],[-2,-4,-5]]