Home
Class 12
MATHS
Transform [(1,-1,2) ,(2,1,3),(3,2,4)] in...

Transform `[(1,-1,2) ,(2,1,3),(3,2,4)]` into an upper triangular matrix by suitable row transformations

Text Solution

Verified by Experts

In an upper triangular matrix elements below the diagonal are `0`.
Here, `A = [[1,-1,2],[2,1,3],[3,2,4]]`
Applying `R_2->R_2-2R_1`
`= [[1,-1,2],[0,3,-1],[3,2,4]]`
Applying `R_3->R_3-3R_1`
`= [[1,-1,2],[0,3,-1],[0,5,-2]]`
Applying `R_3->R_3-5/3R_2`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

Transform [(1,2,4),(3,-1,5),(2,4,6)] into an upper triangular matrix by using suitable row transformations.

Transform [[2,1,5],[4,3,1],[6,3,4]] into upper triangular matrix by using suitable row transformations.

Transform [[1,2,-4],[0,-4,8],[72,5,7]] into a lower triangular matrix by using column transformations.

Convert [[1,-1],[2,3]] into an identity matrix by suitable row transformatiions.

Transform [[4,-1],[5,-2]] into a corresponding Identity matrix using row transformations

Show that the matrix [{:(3,1,4),(2,0,-1),(5,2,1):}] is non-singular and reduce it to the identiy matrix by elementary row transformations.

Find the Inverse of the following matrix by using Row Transformations. [[1,2],[3,5]]