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)`.

Promotional Banner

Topper's Solved these Questions

  • IPE:MARCH-2017 [TS]

    SRISIRI PUBLICATION|Exercise SECTION-C|5 Videos
  • IPE:MARCH-2017[AP]

    SRISIRI PUBLICATION|Exercise Section-C (III. Answer any five of the following LAQs:)|7 Videos

Similar Questions

Explore conceptually related problems

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

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.

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

The matrix |(1,0,0),(2,1,0),(3,1,1)| is

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

The matrix [(3,2),(5,1)] is

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

SRISIRI PUBLICATION-IPE:MARCH-2017(TS)-QUESTIONS
  1. Find the angle between the vectors overlinei+2overlinej+3overlinek and...

    Text Solution

    |

  2. IF sin theta=4/5 and theta is not in the first quadrant, find the valu...

    Text Solution

    |

  3. Prove that cos48^@.cos12^@=(3+sqrt5)/8.

    Text Solution

    |

  4. IF coshx=5//2, then find the value of (i) cosh(2x) and (ii) sinh(2x)

    Text Solution

    |

  5. Show that |{:(1,a,a^2),(1,b,b^2),(1,c,c^2):}|=(a-b)(b-c)(c-a)

    Text Solution

    |

  6. IF overlinea,overlineb,overlinec are non-coplanar, then prove that the...

    Text Solution

    |

  7. IF overlinea=2overlinei+overlinej-overlinek,overlineb=-overlinei+2over...

    Text Solution

    |

  8. Find the range of 13cosx+3sqrt3 sin x-4

    Text Solution

    |

  9. Solve 1+sin^2 theta=3sin thetacostheta

    Text Solution

    |

  10. Show that cot(Sin^-1sqrt(13/17))=sin(Tan^-1""2/3).

    Text Solution

    |

  11. In DeltaABC, if 1/(a+c)+1/(b+c)=3/(a+b+c) then show that C=60^@

    Text Solution

    |

  12. If Q is the set of all rational numbers, and f:Qto Q is defined by f(x...

    Text Solution

    |

  13. If f={(4,5),(5,6),(6,-4)},g={(4,-4),(6,5),(8,5)} find (iii) fg

    Text Solution

    |

  14. Using Mathematical Induction, prove that statement for all n in N 1....

    Text Solution

    |

  15. Solve the following system of equations by using Cramer's rule. 2x-y...

    Text Solution

    |

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

    Text Solution

    |

  17. IF A=[{:(1,2,2),(2,1,2),(2,2,1):}] then show that A^2-4A-5I=O.

    Text Solution

    |

  18. Find the shortest distance between the skew lines . bar(r)=(6bar(i)...

    Text Solution

    |

  19. IF A+B+C=2S, then prove that cos(S-A)+cos(S-B)+cosC=-1+4cos""(S-A)/2...

    Text Solution

    |

  20. Show that 1/r^2+1/r1^2+1/r2^2+1/r3^2=(a^2+b^2+c^2)/Delta^2

    Text Solution

    |