Home
Class 12
MATHS
Let A=[[2,2],[9,4]] and I=[[1,0],[0,1]] ...

Let A=[[2,2],[9,4]]` and `I=[[1,0],[0,1]]` then value of `10 A^(-1)` is-

A

`6I-A`

B

`A-4I`

C

`A-6I`

D

`4I-A`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATHEMATICS|121 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|2 Videos
  • JEE MAINS

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|445 Videos

Similar Questions

Explore conceptually related problems

If A A=[[3,-2],[ 4,-2]] and I=[[1, 0],[ 0, 1]] , find k so that A^2=k A-2I .

If A=[(2x,0),(x,x)] and A^(-1)=[(1,0),(-1,2)] , then the value of x is

If (A -2I)(A-3I)=0 , when A=[{:(4,2),(-1,x):}] and I=[{:(1,0),(0,1):}] , find the value of x

If A=[ (3,-2),( 4 ,-2) ] and I=[(1,0),(0,1)] , then prove that A^2-A+2I=O .

If A=[[1, 0],[ 0, 1]] , B=[[1,0],[0,-1]] and C=[[0, 1],[ 1, 0]] , then show that A^2=B^2=C^2=I_2 .

If A=[[1,0,-2],[3,-1,0],[-2,1,1]],B=[[0,5,-4],[-2,1,3],[-1,0,2]] and C=[[1,5,2],[-1,1,0],[0,-1,1]] verify that A(B-C)=(AB-AC)

If A=[[3,1],[-1,2]], I=[[1,0],[0,1]] and O=[[0,0],[0,0]] , show that A^2-5A+7I=0 . Hence find A^(-1) .

If A=[{:(4,1),(3,2):}] and I=[{:(1,0),(0,1):}] then A^(2)-6A is equal to : a) 3I b) -5I c) 5I d) none of these

If A=[[0,1],[1,0]],B=[[0,-i],[i,0]] and C=[[i,0],[0,-i]] , show that A^2=B^2=-C^2=I_2 and AB=-BA,AC=-CA and BC=-CB .

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAIN-MATH
  1. If a hyperbola has vertices (±6, 0) and P(10, 16) lies on it, then the...

    Text Solution

    |

  2. It the 10^(th) term of an A. P. is 1/20 and its 20^(th) term is 1/10, ...

    Text Solution

    |

  3. Let A=[[2,2],[9,4]] and I=[[1,0],[0,1]] then value of 10 A^(-1) is-

    Text Solution

    |

  4. Let alpha=(-1+isqrt(3))/2 and a=(1+alpha)sum(k=0)^(100) alpha^(2k),b=s...

    Text Solution

    |

  5. lambda x + 2y + 2z = 5, 2lambda x + 3y + 5z = 8, 4x + lambda y + 6z =...

    Text Solution

    |

  6. Let veca=hati-2hatj+hatkand vecb=hati-hatj+hatk be two vectors. If vec...

    Text Solution

    |

  7. Let f(x) = (x[x])/(x^2+1) : (1, 3) rarr R then range of f(x) is (where...

    Text Solution

    |

  8. lim(x rarr 0)(int0^x tsin(10t)dt)/x is equal to

    Text Solution

    |

  9. Normal at (2, 2) to curve x^2 + 2xy – 3y^2 = 0 is L. Then perpendicula...

    Text Solution

    |

  10. Let A and B two events such that the probability that exactly one of t...

    Text Solution

    |

  11. The differential equation of the family of curves, x^(2)=4b(y+b),b in ...

    Text Solution

    |

  12. Let P be the set of points (x, y) such that x^2 le y le – 2x + 3. Then...

    Text Solution

    |

  13. Image of (1, 2, 3) w.r.t a plane is (-7/3,-4/3,-1/3) then which of th...

    Text Solution

    |

  14. Mean and variance of 20 observation are 10 and 4. It was found, that i...

    Text Solution

    |

  15. Let coefficient of x^4 and x^2 in the expansion of (x+sqrt(x^2-1))^6+(...

    Text Solution

    |

  16. Solution set of 3^x (3^x –1) + 2 = |3^x –1| + |3^x – 2| contains

    Text Solution

    |

  17. If I=int(1)^(2)(dx)/(sqrt(2x^(3)-9x^(2)+12x+4)), then

    Text Solution

    |

  18. Let f(x) is a three degree polynomial for which f ' (–1) = 0, f '' (1)...

    Text Solution

    |

  19. If sqrt2(sin alpha)/(sqrt(1+cos2 alpha))=1/7 and sqrt((1-cos2beta)/2)=...

    Text Solution

    |

  20. Let the line y = mx intersects the curve y^2 = x at P and tangent to y...

    Text Solution

    |