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`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

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

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^(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)=1 then (A-I)^(3)+(A+I)^(3)-7A is equal to

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

If A is a square matrix such that A^2 = I, then A^(-1) is equal to (i) I (ii) 0 (iii) A (iv) I+A

RESONANCE DPP-JEE MAINS-All Questions
  1. Consider the following equation in x and y: (x-2y-1)^2 + (4x+3y-4)^2 +...

    Text Solution

    |

  2. If a, b, c are distinct odd integers and omega is non real cube root o...

    Text Solution

    |

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

    Text Solution

    |

  4. 1/((a+b)(b+c)(c+a)) |[-2a, a+b, a+c] , [b+a, -2b, b+c] , [c+a, c+b, -2...

    Text Solution

    |

  5. The number of ways of seven digit number with distinct digits of the f...

    Text Solution

    |

  6. a, b, c in R, a!= 0 and the quadratic equationax^2+bx+c=0 has no real ...

    Text Solution

    |

  7. If the vectors vec (a) = 2 hat (i) - hat (j) + hat (k) , vec ( b) = h...

    Text Solution

    |

  8. The projection of point P( vec p) on the plane vec rdot vec n=qi s( v...

    Text Solution

    |

  9. In a bag there are 4 Red, 3 Black, 2 Green Balls are drawn one by o...

    Text Solution

    |

  10. If u and v are the roots of the equation x^2+2x-2=0 , then the value o...

    Text Solution

    |

  11. If A O, then I+ A A2 (where I is the unit matrix of order same as that...

    Text Solution

    |

  12. If f:R rarr [pi/6,pi/2], f(x)=sin^(-1)((x^(2)-a)/(x^(2)+1)) is an onto...

    Text Solution

    |

  13. inte^(x)((1+sinx)/(1+cosx))dx=

    Text Solution

    |

  14. (C0+C1)(C1+C2)(C2+C3)(C3+C4)...........(C(n-1)+Cn)=(C0C1C2.....C(n-1)(...

    Text Solution

    |

  15. It is given that the Rolles theorem holds for the function f(x)=x^3...

    Text Solution

    |

  16. If f^(prime)(1)=-2sqrt(2)a n dg^(prime)(sqrt(2))=4 , then the derivati...

    Text Solution

    |

  17. The number of solution of the equation (x+2)^(log(x+2)(6+x-x^(2)))=(x-...

    Text Solution

    |

  18. The mean and variance of a binomial distribution (p+q)^n are 20 and 16...

    Text Solution

    |

  19. If N=(1-cos4beta)/(sec^2 2beta-1)+(1+cos4beta)/(cosec^2 2beta-1) then ...

    Text Solution

    |

  20. The radius of the circle touching the line x+y=4" at "(1, 3) and inter...

    Text Solution

    |