Home
Class 12
MATHS
Show that the matrix A = [(1,2,1),(3,2,3...

Show that the matrix `A = [(1,2,1),(3,2,3),(1,1,2)]` is non-singular and find `A^(-1)`.

Text Solution

Verified by Experts

The correct Answer is:
`[(-1//4,3//4,-1),(3//4,-1//4,0),(-1//4,-1//4,1)]`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SOLVED MODEL PAPER-2

    SRISIRI PUBLICATION|Exercise Section C|7 Videos
  • SOLVED MODEL PAPER-2

    SRISIRI PUBLICATION|Exercise SOLVED MODEL PAPER-2(MATHS-1B)|24 Videos
  • SOLVED MODEL PAPER-2

    SRISIRI PUBLICATION|Exercise SOLVED MODEL PAPER-2(MATHS-1B)|24 Videos
  • SOLVED MODEL PAPER-1

    SRISIRI PUBLICATION|Exercise SOLVED MODEL PAPER-1(MATHS-1B)|23 Videos
  • SOLVED MODEL PAPER-3

    SRISIRI PUBLICATION|Exercise SECTION-C|7 Videos

Similar Questions

Explore conceptually related problems

Find the rank of the matrix [(1,4,-1),(2,3,0),(0,1,2)]

Show that the matrix A=[(1, -1, 5),(-1,2,1),(5,1,3)] is a symmetric matrix.

Knowledge Check

  • If the matrix [(1,2,x),(5,7,9),(1,2,3)] is singular then x=

    A
    1
    B
    2
    C
    3
    D
    4
  • The matrix |(1,0,0),(2,1,0),(3,1,1)| is

    A
    non singular
    B
    singular
    C
    skew symmetric
    D
    symmertic
  • The matrix [(3,2),(5,1)] is

    A
    non singular
    B
    singular
    C
    skew symmetric
    D
    symmetric
  • Similar Questions

    Explore conceptually related problems

    Find the rank of the matrix A = [(1,0,-4),(2,-1,3)]

    Find the rank of the matrix [(1,2,6),(2,4,3)]

    Find the rank of the matrix A=[(1,3),(0,1)]

    The inverse of the matrix [(1,2),(2,3)] is

    The inverse of the matrix [(2,1),(1,3)] is