Home
Class 12
MATHS
For the matrix A=[{:(1,1,0),(1,2,1),(2,1...

For the matrix `A=[{:(1,1,0),(1,2,1),(2,1,0):}]`, which of the following is correct ?

A

`A^(3)+3A^(2)-l=O`

B

`A^(3)-3A^(2)-l=O`

C

`A^(3)+2A^(2)-l=O`

D

`A^(3)-A^(2)+l=O`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 21

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|50 Videos
  • PRACTICE SET 23

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper-2(MATHEMATICS)|50 Videos

Similar Questions

Explore conceptually related problems

The matrix A={:[(0,1,-1),(-1,0,1),(1,-1,0):}] is a

The matrix overset-A={:[(-i,1+2i),(-1+2i,0)]:} is which of the following?

Matrix [{:(1,0),(0,1):}] is :

The adjoint of the matrix A=[{:(1,0,2),(2,1,0),(0,3,1):}] is

If A is an orthogonal matrix of order 3 and B=[[1,2,3-3,0,22,5,0]] then which of the following is/are correct?

The ad joint of the matrix A= [{:(1,0,2),(2,1,0),(0,3,1):}] is :

Consider the following statements in respect of the matrix A=[{:(0,1,2),(-1,0,-3),(-2,3,0):}] 1. The matrix A is skew-symmetric. 2. The matrix A is symmetric. 3. The matrix A is invertible. Which of the above statements is/are correct ?

Consider the following statements in respect of the matrix A=[{:(0,1,2),(-1,0,-3),(-2,3,0):}] I. The matrix A is skew symmetric II. The matrix A is symmetric III. The matrix A is invertible Which of the above statements is/are correct ?

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 22 -Mathematics
  1. The integrating factor of the differential equation (1-x^(2))(dy)/(d...

    Text Solution

    |

  2. The inverse of the statement (p ^^ ~ q) -> r is

    Text Solution

    |

  3. For the matrix A=[{:(1,1,0),(1,2,1),(2,1,0):}], which of the following...

    Text Solution

    |

  4. One of the diameter of the circle x^(2)+y^(2)-2x+4y-4=0, is

    Text Solution

    |

  5. The angle between the straight lines (x+1)/(2)=(y-2)/(5)=(z+3)/(4) ...

    Text Solution

    |

  6. Minimize z=Sigma(j=1)^(n)Sigma+(i=1)^(m)C(ij)X(ij)subject to Sigma(j=1...

    Text Solution

    |

  7. For the function f(x)=(log(e)(1+x)+log(e)(1-x))/(x) to be continuous a...

    Text Solution

    |

  8. The rate of change of surface area of a sphere of radius r when the ra...

    Text Solution

    |

  9. If y=sqrt(x+sqrt(x+sqrt(x+ tooo))) , then (dy)/(dx) is equal to.....

    Text Solution

    |

  10. int(0)^(2pi) (sin x-|sin x|) dx equal to

    Text Solution

    |

  11. The solution of the differential equation (sin x + cos x) dy + (cos x-...

    Text Solution

    |

  12. Locus of the point of intersection of perpendicular tangents to the ci...

    Text Solution

    |

  13. In a Boolean Algebra B, for all x in B, x+1 is equal to

    Text Solution

    |

  14. A normal is drawn at a point P(x, y) of a curve lt meets the x-axis at...

    Text Solution

    |

  15. The total area enclosed by the lines y=|x|,y=0 and |x|=1 is

    Text Solution

    |

  16. intsqrt((x)/(a^(3)-x^(3))) dx is equal to

    Text Solution

    |

  17. If f(x)= |cosxl, then f'((3pi)/4) equal to -

    Text Solution

    |

  18. These is an objective type question with 4 answer choices exactly one ...

    Text Solution

    |

  19. int (cos 2x-1)/(cos 2x+1)dx is equal to

    Text Solution

    |

  20. The equation of the parabola with its vertex at (1, 1) and focus at (3...

    Text Solution

    |