Home
Class 12
MATHS
[{:(3,10),(2,7):}] find the inverse of m...

`[{:(3,10),(2,7):}]` find the inverse of matrix

Text Solution

Verified by Experts

The correct Answer is:
N/a
`Let A=[{:(3,10),(2,7):}]`
Now ,` A=IA`
`implies [{:(3,10),(2,7):}]=[{:(1,0),(0,1):}]A`
`implies [{:(1,(10)/(3)),(2,7):}]=[{:((1)/(3),0),(0,1):}]A R_(1) to (1)/(3) R_(1)`
`implies [{:(1,(10)/(3)),(0,(1)/(3)):}]=[{:((1)/(3) ,0),((-2)/(3),1):}]A R_(2) to R_(2) -2R_(1)`
`implies [{:(1,(10)/(3)),(0,1):}]=[{:((1)/(3),0),(-2,3):}]AR_(2)to 3R_(2)`
`implies [{:(1,0),(0,1):}]=[{:(7,-10),(-2,3):}]A R_(1)to R_(1) -(10)/(3) R_(2)`
`implies therefore A^(-1) =[{:(7,-10),(-2,3):}]`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exerice|15 Videos

  • MATRICES

    NAGEEN PRAKASHAN|Exercise Exercise 3.3|12 Videos

  • LINEAR PROGRAMMING

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|9 Videos

  • PROBABIILITY

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

[{:(1,3),(2,7):}] find the inverse of matrix

[{:(1,-1),(2,3):}] find the inverse of matrix

[{:(2,1),(4,2):}] find the inverse of matrix

[{:(2,1),(1,1):}] find the inverse of matrix

[{:(4,5),(3,4):}] find the inverse of matrix

[{:(2,3),(5,7):}] find the inverse of the matrix

Find the inverse of the matrix [2-134]

[{:(2,-6),( 1,-2):}] find inverse of matrix

Find the inverse of matrix [{:(6,7),(8,9):}]

Find the inverse of the matrix A=[842294128]