Home
Class 12
MATHS
If A^3 =O, then I+ A +A^2= (where I is t...

If `A^3` =O, then I+ A +`A^2`= (where I is the unit matrix of order same as that of square matrix A) is equals (A) I -A (B) `(I-A)^-1` (C) (I+A) (D) none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If I is a unit matrix of order 10 , then the determinant of I is equal to

If A is skew symmetric matrix, then I - A is (where I is identity matrix of the order equal to that of A)

If for the matrix A ,\ A^3=I , then A^(-1)= (a) A^2 (b) A^3 (c) A (d) none of these

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

if for a matrix A, A^2+I=O , where I is the identity matrix, then A equals

If A^3=O ,t h e nI+A+A^2 equals a. I-A b. (I+A^1)^(-1) c. (I-A)^(-1) d. none of these

If I_3 is the identily matrix of order 3, then (I_3)^(-1)=

If A=[a_(i j)] is a scalar matrix of order nxxn such that a_(i i)=k for all i , then trace of A is equal to n k (b) n+k (c) n/k (d) none of these

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

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

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. In a bag there are 4 Red, 3 Black, 2 Green Balls are drawn one by o...

    Text Solution

    |

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

    Text Solution

    |

  3. If A^3 =O, then I+ A +A^2= (where I is the unit matrix of order same a...

    Text Solution

    |

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

    Text Solution

    |

  5. Evaluate: inte^x((1-sinx)/(1-cosx))dx

    Text Solution

    |

  6. Prove that (C0+C1)(C1+C2)(C2+C3)(C3+C4)...........(C(n-1)+Cn) = (C0...

    Text Solution

    |

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

    Text Solution

    |

  8. If f^(prime)(1)=-2sqrt(2) and g^(prime)(sqrt(2))=4 , then the derivati...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Bag I contains 3 red and 4 black balls while another Bag II contain...

    Text Solution

    |

  14. Choose the correct option 5/4-7/6-(-2)/3=\ (a) 3/4 (b) -3/4 ...

    Text Solution

    |

  15. For the function f(x)=4/3x^3-8x^2+16 x+5,x=2 is a point of (1)local ...

    Text Solution

    |

  16. Solve for x :2tan^(-1)(cosx)=tan^(-1)(2\ cos e c\ x)

    Text Solution

    |

  17. If a, b, c, d and p are different real numbers such that (a^2+b^2+c^2...

    Text Solution

    |

  18. The co-efficient of x in the expansion of (1-2x^(3) + 3x^(5)) (1+1/x)^...

    Text Solution

    |

  19. If the function f(x) satisfies (lim)(x->1)(f(x)-2)/(x^2-1)=pi,evaluate...

    Text Solution

    |

  20. Find the point at which the tangent to the curve y=sqrt(4x-3)-1 has ...

    Text Solution

    |