Home
Class 12
MATHS
If A is square matrix such that A^2 = A,...

If A is square matrix such that `A^2 = A`,then `(I+A)^3-7A` is equal to:

A

A

B

I-A

C

I

D

3A

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MODERN PUBLICATION|Exercise EXERCISE|232 Videos

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE|156 Videos

  • MOCK TEST-1

    MODERN PUBLICATION|Exercise EXERCISE|33 Videos

Similar Questions

Explore conceptually related problems

If A is square matrix such that A^2 = I, then A ^-1 is equal to

if A is a square matrix such that A^(2)=A, then det (A) is equal to

If A is square matrix suct that A^(2)=I , then (A-I)^(3)+(A+I)^(3)-7 A is equal to

If A is a square matrix such that A^2 = A , show that (I+A)^3 = 7A+I .

If A is a square matrix such that A^2 = A , then write the value of 7A-(I+A)^3 , where I is an identity matrix.

If A is a square matrix such that A^2 = A , then write the value of (I+A)^2- 3A

If A is a square matrix such that A^2 = A , then write the value of (I+A)^2 - 3A

If A is square matrix such that A^(2)=A , then write the value of 7A-(I+A)^(3) , where I is an identity matrix .

MODERN PUBLICATION-MATRICES-EXERCISE
  1. If A=[(alpha,beta),(gamma,-alpha)] is such that A^(2)=I, then a. 1 ...

    Text Solution

    |

  2. If the matrix A is both symmetric and skew symmetric, then a. A is d...

    Text Solution

    |

  3. If A is square matrix such that A^2 = A,then (I+A)^3-7A is equal to:

    Text Solution

    |

  4. The matrix {:[(0,0,5),(0,5,0),(5,0,0)] is a scalar matrix. State true ...

    Text Solution

    |

  5. If A is a matrix of order mxxn and B is a matix such that AB' and B'A ...

    Text Solution

    |

  6. For any two matrices A and B, we have

    Text Solution

    |

  7. If AB = C , where B and C are matrices of orders 3xx5, then the order ...

    Text Solution

    |

  8. If AB = C, where B and C are matrices of order 3 xx 4, then the order ...

    Text Solution

    |

  9. If A,B symmetric matrices of the same order. Then AB-BA is a a. Ske...

    Text Solution

    |

  10. If A and B are invertible matrices , then:

    Text Solution

    |

  11. If A is a non-singular matrix of ordern, then |adj A| is equal to

    Text Solution

    |

  12. If 2{:[(x,z),(2,0)]+3[(1,-1),(0,2)]=[(9,15),(4,6)], then the values of...

    Text Solution

    |

  13. If for a square matrix A,AB=BA = I, then inverse of B is

    Text Solution

    |

  14. If A is of order mxxn, B is of order pxxq such that AB is defined, the...

    Text Solution

    |

  15. If A + B = C, where A and B are matrices of order 2 xx 3, then order o...

    Text Solution

    |

  16. The number of all possible matrices of order 3xx3 with each entry 0 o...

    Text Solution

    |

  17. If x[[2],[3]] + y[[-1],[1]] = [[10],[5]] , find the values of x and y.

    Text Solution

    |

  18. Show that a matrix, which is both symmetric and skew symmetric, is a z...

    Text Solution

    |

  19. If A be a matrix of order 3xx4, then elements of A, are

    Text Solution

    |

  20. A 2xx2 matrix A = [a(ij)], where a(ij) = (i+j)^2 is

    Text Solution

    |