Home
Class 12
MATHS
If A=[(1,2,2),(2,1,2),(2,2,10] then (A) ...

If `A=[(1,2,2),(2,1,2),(2,2,10]` then (A) `A^-1= 1/5(A-4I_3)` (B) `A^2-4A-5I_3=0` (C) `A^2` is invertible (D) `A^3` is non invertible

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=[(1,2,2),(2,1,2),(2,2,1)] then (A) A^-1= 1/5(A-4I_3) (B) A^2-4A-5I_3=0 (C) A^2 is invertible (D) A^3 is non invertible

Let A=[1 2 2 2 1 2 2 2 1] . Then A^2-4A-5I_3=O b. A^(-1)=1/5(A-4I_3) c. A^3 is not invertible d. A^2 is invertible

If A=|{:(1,2,2),(2,1,2),(2,2,1):}| , then show that A^(2)-4A-5I_(3)=0 . Hemce find A^(-1) .

If A=[(1, 2, 0 ),(3,-4, 5),( 0,-1, 3)] , compute A^2-4A+3I_3 .

If [(1,a,2),(1,2,5),(2,1,1)] is non invertible then a= (A) 2 (B) 1 (C) 0 (D) -1

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

A=[{:(1,0,k),(2, 1,3),(k,0,1):}] is invertible for

For the matrix A=[(1,1,0),(1,2,1),(2,1,0)] which of the following is correct? (A) A^3+3A^2-I=0 (B) A^3-3A^2-I=0 (C) A^3+2A^2-I=0 (D) A^3-+A^2-+I=0

If A=[(1,-1,0),(2,3,4),(0,1,2)] and B =[(2,2,-4),(-4,2,-4),(2,-1,5)] , then :

RESONANCE DPP-JEE MAINS-All Questions
  1. Equation of straight line a x+b y+c=0 , where 3a+4b+c=0 , which is at ...

    Text Solution

    |

  2. Tangents are drawn from the point P(1,-1) to the circle x^2+y^2-4x-6y-...

    Text Solution

    |

  3. If A=[(1,2,2),(2,1,2),(2,2,10] then (A) A^-1= 1/5(A-4I3) (B) A^2-4A-5I...

    Text Solution

    |

  4. The derivative of (log)(10)x w.r.t. x^2 is equal to 1/(2x^2)loge 10 (...

    Text Solution

    |

  5. If A=[1 2 0-1 1 2 2-1 1],t h e ndet(A d j(A d jA))= 13 (b) 13^2 (c) ...

    Text Solution

    |

  6. Which of the following limits tends to unity? (a) ("lim")(xvec0)sin(ta...

    Text Solution

    |

  7. The algebraic sum of the perpendicular distances from A(x1, y1), B(x2,...

    Text Solution

    |

  8. If sum(k=1)^(k=n)tan^(- 1)(2k)/(2+k^2+k^4)=tan^(- 1)(6/7), then the va...

    Text Solution

    |

  9. The solution set of the inequation 3^(72)(1/3)^x(1/3)^(sqrt(x))>1 ...

    Text Solution

    |

  10. The area of the triangle formed by the positive x-axis and the normal ...

    Text Solution

    |

  11. Prove that cos^(-1) (sqrt(1/3))-cos^(-1) (sqrt((1)/(6)))+cos^(-1) ((...

    Text Solution

    |

  12. Let m ,n are integers with 0<n<mdot A is the point (m , n) on the Cart...

    Text Solution

    |

  13. Let g: R to R be given by g(x)=3 +4x If g^(n) (x)=gogo ....og (x)" t...

    Text Solution

    |

  14. If [1 4 2 0]=[x y^2z0],y<0t h e nx-y+z= 5 (b) 2 (c) 1 (d) -3

    Text Solution

    |

  15. The internal common tangents to two circles with centre C1 and C2 in...

    Text Solution

    |

  16. Find the values of a and b in order that lim(x->0) (x(1+a cos x)-b sin...

    Text Solution

    |

  17. Let three matrices A=[2 1 4 1]; B=[3 4 2 3]a n dC=[3-4-2 3], then 6 (...

    Text Solution

    |

  18. If =cos^2[tan^(-1)(sincot^(-1)x)], then (dy)/(dx) is (-2x)/((x^2+2)^2)...

    Text Solution

    |

  19. Let log3^N = alpha1 + beta1 , log5^N = alpha2 + beta2 , log7^N = alph...

    Text Solution

    |

  20. A circle is inscribed in an equilateral triangle of side adot The area...

    Text Solution

    |