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

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ADJOINTS AND INVERSE OF MATRIX

    RD SHARMA ENGLISH|Exercise All Questions|181 Videos

  • ALGEBRA OF VECTORS

    RD SHARMA ENGLISH|Exercise All Questions|325 Videos

Similar Questions

Explore conceptually related problems

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 , write the value of | AA^T|

If A is a square matrix such that |A|=2 , write the value of |2 A|

If A is a square matrix such that |A|=2 , write the value of |AA^T|

If A is a square matrix such that A A^T=I=A^TA , then A is

If A is a square matrix such that A^2-A+I =0 , then the inverse of A is

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

If A is a square matrix of order 3 such that |A|=2 , then write the value of |(a d jA)|

If A is a square matrix of order 3 such that |A|=3 , then write the value of | adj A|

If A is a square matrix such that A^(3) =I then the value of A^(-1) is equal to

RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. For what value of x is the matrix A=[(0,1,-2),(1,0,3),(x,3,0)] a skew-...

    Text Solution

    |

  2. If matrix A=[(2,-2),(-2, 2)] and A^2=p A , then write the value of pdo...

    Text Solution

    |

  3. If A is a square matrix such that A^2=A , then write the value of 7A-(...

    Text Solution

    |

  4. If 2|(3, 4),( 5,x)|+|(1,y),(0, 1)|=|(7, 0),(10, 5)| , find x-y .

    Text Solution

    |

  5. If [x\ \ 1][(1 ,0),(-2, 0)]=O , find xdot

    Text Solution

    |

  6. If [a+4 3b8-6]=[2a+2b+2 8a-8b] , write the value of a-2b .

    Text Solution

    |

  7. Write a 2xx2 matrix which is both symmetric and skew-symmetric.

    Text Solution

    |

  8. If [(x y,4),(z+6,x+y)]=[(8,w),(0, 6)] , write the value of (x+y+z) .

    Text Solution

    |

  9. Construct a 2xx2 matrix A=[a(i j)] whose elements a(i j) are given by ...

    Text Solution

    |

  10. If [x+y x-y]=[2 1 4 3][1-2] , then write the value of (x ,\ y) .

    Text Solution

    |

  11. Matrix A=[(0, 2b,-2) ,(3 ,1, 3), (3a,3,-1)] is given to be symmetric, ...

    Text Solution

    |

  12. Write the number of all possible matrices of order 2xx2 with each e...

    Text Solution

    |

  13. If [2\ \ 1\ \ 3][-1 0-1-1 1 0 0 1 1][1 0-1]=A , then write the order o...

    Text Solution

    |

  14. If A=[3 5 7 9] is written as A=P+Q , where P is symmetric and Q is sk...

    Text Solution

    |

  15. If A=[(1 ,0, 0),(0, 1,0),( a,b, -1)] , then A^2 is equal to (a) a n...

    Text Solution

    |

  16. If A=[(i,0), (0,i)],\ n in N , then A^(4n) equals [(0,i), (i,0)] (b) ...

    Text Solution

    |

  17. If A and B are two matrices such that A B=A and B A=B , then B^...

    Text Solution

    |

  18. If A B=A and B A=B , where A and B are square matrices, then B^2=B ...

    Text Solution

    |

  19. If A and B are two matrices such that AB=B and BA=A , then A^2+B^2=

    Text Solution

    |

  20. If [(cos\ (2pi)/7,-sin\ (2pi)/7),(sin\ (2pi)/7,cos\ (2pi)/7)]^k=[(1,0)...

    Text Solution

    |