Home
Class 12
MATHS
If [{:(1, 1), (0,1):}]*[{:(1, 2), (0,1):...

If `[{:(1, 1), (0,1):}]*[{:(1, 2), (0,1):}]*[{:(1, 3), (0,1):}]cdotcdotcdot[{:(1, n-1), (0,1):}] = [{:(1, 78), (0,1):}]`, then the inverse of `[{:(1, n), (0,1):}]` is

A

`[[1,0],[12,1]]`

B

`[[1,-13],[0,1]]`

C

`[[1,-12],[0,1]]`

D

`[[1,0],[13,1]]`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2: (CONCEPT APPLICATOR)|30 Videos
  • LIMITS AND DERIVATIVES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

Let {:[(1,2),(0,1):}][{:(1,2),(0,1):}]......[{:(1,n-1),(0,1):}]=[{:(1,78),(0,1):}] If A=[{:(1,n),(0,1):}] then A^(-1)=

If [{:(1,3),(0,1):}]A=[{:(1,-1),(0,1):}] , then what is the matrix A ?

If A=[{:(1,1),(0,1):}] , prove that A=[{:(1,n),(0,1):}] for all n inN.

If [[1,3] , [0,1]] A = [[1,1] , [0,-1]] then find the value of A

If [2 1 3] [{:(-1,0,-1),(-1,1,0),(0,1,1):}][{:(1),(0),(-1):}] =A, then find the value of A.

if [{:(1,2,a),(0,1,4),(0,0,1):}]=[{:(1,18,2007),(0,1,36),(0,0,1):}] then find the value of n

If A^(-1)=[{:(,1,-1,0),(,0,-2,1),(,0,0,-1):}] then

(i) if A=[{:(1,0),(0,1):}],B=[{:(0,1),(1,0):}]and C=[{:(1,0),(0,1):}], then show that A^(2)=B^(2)=C^(2)=I_(2). (ii) if A=[{:(1,0),(1,1):}],B=[{:(2,0),(1,1):}]and C=[{:(-1,2),(3,1):}], then show that A(B+C)=AB+AC. (iii) if A=[{:(1,-1),(-1,1):}]and B=[{:(1,1),(1,1):}], then show that AB is a zero matrix.

DISHA PUBLICATION-JEE MAIN - 2019 (HELD ON: 9TH APRIL 2019(MORNING SHIFT))-MCQs
  1. The solution of the differential equation x(dy)/(dx) + 2y = x^...

    Text Solution

    |

  2. For any two statements p and q, the negation of the expression p vee (...

    Text Solution

    |

  3. All the points in the set S={(alpha+i)/(alpha-i):alpha in R } (i= sqrt...

    Text Solution

    |

  4. If the fourth term in the binomial expansin of ((2)/(x) + x^(log(6) x)...

    Text Solution

    |

  5. If the function f defined on (pi/6,pi/3) by {{:((sqrt2 cos x -1)/(cot ...

    Text Solution

    |

  6. If the function f: R -{1,-1} to A definded by f(x)=(x^(2))/(1-x^(2)), ...

    Text Solution

    |

  7. A plane passing through the points (0, -1, 0) and (0, 0, 1) and making...

    Text Solution

    |

  8. Let the sum of the first n terms of a non-constant A.P., a(1), a(2), a...

    Text Solution

    |

  9. Let S = { theta in [-2pi,2pi]:2 cos^(2) theta + 3 sin theta = 0}, the...

    Text Solution

    |

  10. If one root of the quadratic equation X^(2)+px+q=0 is 2-sqrt(3) : wher...

    Text Solution

    |

  11. Let f(x) = 15 -|x-10|, x in R. Then, the set of all values of x, at w...

    Text Solution

    |

  12. Let S be the set of all values of x for which the tangent to the curve...

    Text Solution

    |

  13. If a tangent to the circle x^(2)+y^(2)=1 intersects the coordinate axe...

    Text Solution

    |

  14. Let vecalpha = 3hati + hatj and beta= 2hati - hatj + 3hatk. If vecbeta...

    Text Solution

    |

  15. The area (in sq units) of the region A={(x,y): x^(2) le y le x +2} is

    Text Solution

    |

  16. If [{:(1, 1), (0,1):}]*[{:(1, 2), (0,1):}]*[{:(1, 3), (0,1):}]cdotcdot...

    Text Solution

    |

  17. Let sum(k=1)^(10)f(a+k)=16(2^(10)-1), where the function f satisfies ...

    Text Solution

    |

  18. A committee of 11 members is to be formed from 8 males and 5 m=females...

    Text Solution

    |

  19. Let alpha and beta be the roots of the equation x^(2) + x + 1 = 0. ...

    Text Solution

    |

  20. One extremity of a focal chord of y^2 = 16x is A(1,4). Then the length...

    Text Solution

    |