Home
Class 12
MATHS
If A ={:[(1,0),(1,1)]:} and A^(8) =aA+bI...

If A =`{:[(1,0),(1,1)]:}` and `A^(8)` =aA+bI , then (a,b) =

A

(8,7)

B

(-7,8)

C

(8,-7)

D

(-8,-7)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST PAPER -III

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|60 Videos
  • PARABOLA

    MODERN PUBLICATION|Exercise RECENT COMPETITION QUESTION (QUESTION FROM KARNATAKA CET & COMED)|9 Videos

Similar Questions

Explore conceptually related problems

If A=[[1,0],[-1,7]] and A^2-8 A+k I=0 , then k=

If A=[(1,0),(0,-1)] and B=[(0,1),(1,0)] , then prove that AB ne BA .

If A+B=[[1,0],[1,1]] and A-2 B=[[-1,1],[0,1]] then A=

If A'=[(-2,3),(1,2)] and B=[(-1,0),(1,2)] then find (A+2B)'

If A=[(1,2,3),(2,3,1)] and B=[(3,-1,3),(-1,0,2)] , then find 2A-B .

If A'=[(3,4),(-1,2),(0,1)] and B=[(-1,2,1),(1,2,3)] , then verify that (i) (A+B)' =A'+B', (ii) (A-B)'=A'-B'

Let A= {:[( 3,7),( 2,5) ]:} and B = {:[( 6,8),( 7,9) ]:} .Verify that (AB) ^(-1) =B^(-1) A^(-1)

For the matrix A={:[( 3,2),( -1,2) ]:} . Find the numbers a and b such that A^(2) +aA+bI =O.

If A=[[alpha , 0] ,[ 1 , 1]] and B=[[1 , 0] ,[ 5 , 1]] whenever A^(2)=B , then value of alpha is

MODERN PUBLICATION-MOCK TEST PAPER -IV-SELECT THE CORRECT ANSWER
  1. If a,b,c are A.P then the value of the determinant |(x+2,x+3,x+2a),...

    Text Solution

    |

  2. If A = [(alpha,2),(2,alpha)]and A^(3)=27 then alpha =

    Text Solution

    |

  3. If A ={:[(1,0),(1,1)]:} and A^(8) =aA+bI , then (a,b) =

    Text Solution

    |

  4. If A ={:[(a,0,0),(0,a,0),(0,0,a)]:} then det (Adj A) is

    Text Solution

    |

  5. lim(x rarr oo) (sqrt(a^(2) x^(2) + bx + c) - ax) =

    Text Solution

    |

  6. If y = log 1-x^(x^(2))/(1+x^(2)) then (dy)/(dx) is equal to

    Text Solution

    |

  7. If f(x)=log(x^(2))(log x) , then f(x) at x=e is

    Text Solution

    |

  8. The slant height of a cone is fixed at 7 cm if the rate of increase o...

    Text Solution

    |

  9. If S^(2)=at^(2)+2bt+c then the acceleration is

    Text Solution

    |

  10. The value of 'c' in lagrange 's theorem for the function f(x)=log (si...

    Text Solution

    |

  11. A ladder 5 m long is leaning against a well. The bottom of the ladder ...

    Text Solution

    |

  12. The angle between the curves y^(2)=4ax and ay=2x^(2) is

    Text Solution

    |

  13. The maximum area in squre units of an isosceles triangle inscribed in...

    Text Solution

    |

  14. in (x^(3)-1)/(x^(3)+x)dx=

    Text Solution

    |

  15. If in(cos8x+1)/(tan 2x-cot 2x) dx =a cos 8x +c then a=

    Text Solution

    |

  16. intunderset(-1)overset(1) (x^(27) cos x +e^(x))dx=

    Text Solution

    |

  17. The value of the integral intunderset(0)overset(pi)(x sin^(2n)x)/(sin^...

    Text Solution

    |

  18. underset(0)overset(pi)intxf(sin x)dx=A underset(0)overset(pi//2)int f(...

    Text Solution

    |

  19. underset(1)overset(e )int log x dx =

    Text Solution

    |

  20. The area of the region bounded by the curves y=x^(2) and y=4x-x^(2) in...

    Text Solution

    |