Home
Class 12
MATHS
If A=[(1,0,0),(0,1,0),(0,0,1)] then A^2...

If `A=[(1,0,0),(0,1,0),(0,0,1)] ` then `A^2+2A=`

A

A

B

3A

C

2A

D

4A

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD

    CHHAYA PUBLICATION|Exercise MULTIPLE CORRECT ANSWER TYPE|5 Videos

  • ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD

    CHHAYA PUBLICATION|Exercise INTEGER ANSWER TYPE|5 Videos

  • ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD

    CHHAYA PUBLICATION|Exercise SHORT ANSWER TYPE QUESTION|9 Videos

  • ALGEBRA

    CHHAYA PUBLICATION|Exercise JEE ADVANCED ARCHIVE 2016|5 Videos

Similar Questions

Explore conceptually related problems

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

If A=[{:(1,0,0),(1,0,1),(0,1,0):}] , then which is true (a) A^(3)-A^(2)=A-I (b) det. (A^(100)-I)=0 (c) A^(200)=[(1,0,0),(100,1,0),(100,0,1)] (d) A^(100)=[(1,1,0),(50,1,0),(50,0,1)]

Let A=[(1,0,0),(0,1,1),(0,-2,4)],I=[(1,0,0),(0,1,0),(0,0,1)] and A^-1=[1/6(A^2+cA+dI)] Then value of c and d are (a) (-6,-11) (b) (6,11) (c) (-6,11) (d) (6,-11)

If A=[(1,0,2),(-1,1,-2),(0,2,1)]" and Adj "A=[(5,a,-2),(1,1,0),(-2,-2,b)] , then the values of a and b are -

If A = [(1,-1,1),(2,-1,0),(1,0,0)] find A^(2) and show that A^(2) = A^(-1) .

If A=[(1,0,2),(0,2,1),(2,0,3)] , prove that A^(3)-6A^(2)+7A+2I=0

If A={:[(1,1,1),(0,1,1),(0,0,1)] , Prove by mathematical induction that, A^(n)={:[(1,n,(n(n+1))/2),(0,1,n),(0,0,1)] for every positive integer n.

If A=[(0,1),(1,0)] ,then A^4=

Let, I=({:(1,0,0),(0,1,0),(0,0,1):}) " and " P=({:(1,0,0),(0,-1,0),(0,0,-2):}) . Then the matrix P^(3)+2P^(2) is equal to -

If A={:[(1,-2,2),(0,1,-1),(0,0,1)]:} and B={:[(1,2,0),(2,3,-1),(0,-1,-2)]:}, then show that, (A'B)A is a diagonal matrix.

CHHAYA PUBLICATION-ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD-LONG ANSWER TYPE QUESTIONS
  1. Solve by matrix inversion method the following system of equations. ...

    Text Solution

    |

  2. Solve by matrix inversion method the following system of equations. ...

    Text Solution

    |

  3. Solve by matrix inversion method the following system of equations. ...

    Text Solution

    |

  4. Solve by matrix inversion method the following system of equations. (...

    Text Solution

    |

  5. Solve by matrix inversion method the following system of equations. ...

    Text Solution

    |

  6. Solve by matrix inversion method the following system of equations. ...

    Text Solution

    |

  7. If A=[(1,0,0),(0,1,0),(0,0,1)] then A^2+2A=

    Text Solution

    |

  8. If A is a 3×3 matrix and B is it's adjoint matrix. if |B|=64, then |A|...

    Text Solution

    |

  9. If A and B are symmetric matrices then

    Text Solution

    |

  10. From the matrix equation AX = B, find X, given A = [(1,-1),(2,1)] an...

    Text Solution

    |

  11. If 1, omega,omega^(2) are the cube roots of unity then the vlue of m f...

    Text Solution

    |

  12. Given A = [(1,2,3),(3,-2,1),(4,2,1)] , X = [(x),(y),(z)] and B = [(1),...

    Text Solution

    |

  13. If A = [(1,2),(-2,2)] find A^(T).

    Text Solution

    |

  14. If A={:[(4,2),(-1,1)]:} then (A-2I)(A-3I) is equal to

    Text Solution

    |

  15. Find the product [(1,-1,0),(2,3,4),(0,1,2)] xx [(2,2,-4),(-4,2,-4),(2,...

    Text Solution

    |

  16. Let A = [(2,8),(1,1)], find A^(-1).

    Text Solution

    |

  17. If A=[(0,1),(1,0)],then A^4=

    Text Solution

    |

  18. Prove that the equations kx + y + z = 1, x + ky + z = k and x + y + kz...

    Text Solution

    |

  19. If for a matrix A, A^5=I, then A^-1=

    Text Solution

    |

  20. If A = [(3,1),(4,-1)], then find A^(-1).

    Text Solution

    |