Home
Class 12
MATHS
If I is the identity matrix and A is ...

If `I` is the identity matrix and `A` is a square matrix such that `A^2=A` , then what is the value of `(I+A)^2-3A` ?

Text Solution

Verified by Experts

The correct Answer is:
I
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MODERN PUBLICATION|Exercise Exercise 3 (d) Long Answer Type Questions I|28 Videos

  • MATRICES

    MODERN PUBLICATION|Exercise Exercise 3 (d) Long Answer Type Questions II|2 Videos

  • MATRICES

    MODERN PUBLICATION|Exercise Exercise 3 (c ) Long Answer Type Questions|3 Videos

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise Chapter Test|12 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise MOCK TEST SECTION D|6 Videos

Similar Questions

Explore conceptually related problems

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, then (I-A)^(2)+A=

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

If A is a square matrix such that A^(2)=I, then find the simplified value of (A-I)^(3)+(A+I)^(3)-7A

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

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

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

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.

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

MODERN PUBLICATION-MATRICES-Exercise 3 (d ) Short Answer Type Questions
  1. If P=[(0,1,0),(0,2,1),(2,3,0)],Q=[(1,2),(3,0),(4,1)], find PQ.

    Text Solution

    |

  2. If I is the identity matrix and A is a square matrix such that A...

    Text Solution

    |

  3. If A=[1 0-1 7] and I=[1 0 0 1] , then find k so that A^2=8A+k I

    Text Solution

    |

  4. if A=[{:(costheta,sin theta ),(-sin theta,costheta):}], then show that...

    Text Solution

    |

  5. If A=[(2,-3,1),(-2,3,4)] and B=[(2,5),(3,1),(4,2)], then Find AB

    Text Solution

    |

  6. If A=[(1,-2,3),(-4,2,5)] and B=[(2,3),(4,5),(2,1)], find AB and BA and...

    Text Solution

    |

  7. यदि A = [{:(5,-1),(6,7)]"ओर " B = [ {:(2,1),(3,4):}] तो सिद्ध कर...

    Text Solution

    |

  8. Evaluate the following : (i) [(4),(5)][7" "9]+[(4,0),(0,-5)] (ii)...

    Text Solution

    |

  9. If [ (2x, 3)] [(1,2),(-3,0)][(x),(8)]=0, find 'x'

    Text Solution

    |

  10. for what values of x: [1" "2" "1][{:(1,2,0),(2,0,1),(1,0,2):}][{:(...

    Text Solution

    |

  11. find x, if [x" "-5" "-1][{:(1,0,2),(0,2,1),(2,0,3):}][{:(x),(4),(1)...

    Text Solution

    |

  12. Find the values of 'a' and 'b' for which the following hold : [(3,2)...

    Text Solution

    |

  13. Let A=[(2,4),(1,-3)] and B=[(1,-1,5),(0,2,6)] (a) Find AB. (b) Is BA...

    Text Solution

    |

  14. If A=[(1,-2,3),(-4,2,5)] and B=[(2,3),(4,5),(2,1)], find AB and BA and...

    Text Solution

    |

  15. Show that AB = BA in each of the following cases: (i) A=[{:(costheta...

    Text Solution

    |

  16. show that (i) [{:(5,-1),(6,7):}][{:(2,1),(3,4):}]ne[{:(2,3),(3,4):}...

    Text Solution

    |

  17. Show with the help of an example that AB=O whereas BA!=O, where O is a...

    Text Solution

    |

  18. Give an example of three matrices A ,\ B ,\ C such that A B=A C but...

    Text Solution

    |

  19. If A=[(5,2),(-1,2)] and I=[(1,0),(0,1)] show that : (A-3I)(A-4I)=O

    Text Solution

    |

  20. If A=[(2,0,1),(2,1,3),(1,-1,0)], then find (A^(2)-5A)

    Text Solution

    |