Home
Class 12
MATHS
IF A=[{:(3,-3,4),(2,-3,4),(0,-1,1):}] th...

IF `A=[{:(3,-3,4),(2,-3,4),(0,-1,1):}]` then show that `A^-1=A^3`.

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER

    SRISIRI PUBLICATION|Exercise Section C|42 Videos

  • QUESTION PAPER

    SRISIRI PUBLICATION|Exercise SECTION -A|17 Videos

  • QUESTION PAPER

    SRISIRI PUBLICATION|Exercise SECTION - C|36 Videos

  • PROPERTIES OF TRIANGLES

    SRISIRI PUBLICATION|Exercise LAQ ,SAQ,VSAQ (2DHARDQ) (3DMIS.Q)|44 Videos

  • SOLVED MODEL PAPER - 4

    SRISIRI PUBLICATION|Exercise Long Answer Questions|9 Videos

Similar Questions

Explore conceptually related problems

IF A=[{:(1,-2,1),(0,1,-1),(3,-1,1):}] then show that A^3-3A^2-A-31=O

If A=[(2,-2,-4),(-1,3,4),(1,-2,-3)] then A is

If A=[(1,-3,-4),(-1,3,4),(1,-3,-4)] then A^(2)=

If A=[(1,2,3),(3,-2,1),(4,2,1)] , then show that A^(3)-23A-40I=0

If A= {:[( 1,0,1),(0,1,2),(0,0,4)]:} ,then show that |3A| =27|A|

If A=[(1,3,3),(1,3,4),(1,4,3)] then A has

If A={:[(1,0,-2),(-2,-1,2),(3,4,1)]:} then A^(-1) =

For the matrix A={:[(3,-3,4),(2,-3,4),(0,-1,1)]:}A^(-1)=

If A=[(1,2-3i,3+4i),(2+3i,0,4-5i),(3-4i,4+5i,2)] , then show that A is hermitian matrix.

IF A=[{:(2,-1,2),(1,3,-4):}] and B=[{:(1,-2),(-3,0),(5,4):}] then verify that (AB)'=B'A'.

SRISIRI PUBLICATION-QUESTION PAPER -Section B
  1. Show that the matrix A=[{:(1,2,1),(3,2,3),(1,1,2):}] is non-singular a...

    Text Solution

    |

  2. IF A=[{:(3,-3,4),(2,-3,4),(0,-1,1):}] then show that A^-1=A^3.

    Text Solution

    |

  3. S.T |(1,a,a^2),(1,b,b^2),(1,c,c^2)| = (a-b)(b-c)(c-a).

    Text Solution

    |

  4. Without expanding the determinant , prove that |{:(a,a^2,bc),(b,b^2,ca...

    Text Solution

    |

  5. Show that |(b+c,c+a,a+b),(a+b,b+c,c+a)(a,b,c)|=a^(3)+b^(3)+c^(3)-3abc.

    Text Solution

    |

  6. If diagA=[a(1),a(2),a(3)], then for any integer n ge 1 show that A^(n)...

    Text Solution

    |

  7. If ABCDEF is a regular hexagon with centre O , then P.T bar(AB)+bar(A...

    Text Solution

    |

  8. If the points whose position vectors are 3bar(i) -2bar(j)-bar(k), 2bar...

    Text Solution

    |

  9. Find the vector equation of the plane passing through the points. 4bar...

    Text Solution

    |

  10. In the two dimensional plane, prove by using vector methods, the equat...

    Text Solution

    |

  11. If bara,barb,barc are non-coplaner, then show that the vectors bara -b...

    Text Solution

    |

  12. Find the area of the triangle formed with the points A(1,2,3), B(2,3,1...

    Text Solution

    |

  13. If bar(a)=2bar(i)+bar(j)-bar(k), bar(b)=-bar(i)+2bar(j)-4bar(k), bar(c...

    Text Solution

    |

  14. Prove that angle in a semi circle is a rightangle by using Vector meth...

    Text Solution

    |

  15. If (sin(alpha+beta))/(sin(alpha-beta)) = (a+b)/(a-b), then prove that ...

    Text Solution

    |

  16. Show that sin A= (sin 3A) /(1+2 cos 2A). Hence find the value of sin 1...

    Text Solution

    |

  17. Show that 1/(sin 10^(@)) - (sqrt(3))/(cos 10^(@)) = 4.

    Text Solution

    |

  18. Show that sin ^(4). (pi)/(8)+ sin ^(4) .(3pi)/(8) sin ^(4). (5pi)/(8)...

    Text Solution

    |

  19. Prove that (1+cos""pi/10)(1+cos""(3pi)/10)(1+cos""(7pi)/10)(1+cos""(9p...

    Text Solution

    |

  20. If cos alpha =(3)/(5) and cos beta =(5)/(13) and alpha, beta are acut...

    Text Solution

    |