Home
Class 12
MATHS
If matrix A=[{:(1,-1),(-1,1):}]andA^(2)=...

If matrix `A=[{:(1,-1),(-1,1):}]andA^(2)=kA` , then write the value of k .

Text Solution

Verified by Experts

The correct Answer is:
K=2
Promotional Banner

Topper's Solved these Questions

  • TEST PAPER 5

    MODERN PUBLICATION|Exercise PROBLEM|41 Videos

  • TEST PAPER 7

    MODERN PUBLICATION|Exercise EXERCISE|39 Videos

Similar Questions

Explore conceptually related problems

IF A=[{:(1,2),(3,-1):}] and B=[{:(1,3),(-1,1):}] then write the value of [AB].

If [{:(x+1,x-1),(x-3,x+2):}]=[{:(4,-1),(1,3):}] then write the value of x.

If |k vec a| = 1 then the value of k = ___.

If [[1,3],[4,5]]=[[7,11],[k,23]] then write the value of k.

Find the adjoint of the matrix A=[{:(-1,-2,-2),(2,1,-2),(2,-2,1):}] and hence show that A (adj A)= |A| I_

Using elementary row transformation , find the inverse of the matrix A=[{:(3,-1),(-4,2):}] .If A^(-1)=(1)/(2)[{:(2,a),(b,3):}] , then find the values of a and b .

If int_(-1/2)^(1/2) cosx In(1+x)/(1-x) dx = kIn^2 then write the value of k.

If the distance between the points (-1, -1, k) and (1,-1,1) is 2 then what is the value of k ?

MODERN PUBLICATION-TEST PAPER 6-EXERCISE
  1. For real numbers x and y, define x R y if and only if x-y +sqrt(2) is ...

    Text Solution

    |

  2. Find the least value of n for which tan^(-1)(n/π)>π/4,n varepsilon N i...

    Text Solution

    |

  3. If matrix A=[{:(1,-1),(-1,1):}]andA^(2)=kA , then write the value of k...

    Text Solution

    |

  4. IF |{:(1+x,x,x^2),(x,1+x,x^2),(x^2,x,1+x):}| =a+bx+cx^2+dx^3+ex^4+fx^5...

    Text Solution

    |

  5. If xin((3pi)/4,pi) what is dy/dxfor y = | cos x | + | sin x | ?

    Text Solution

    |

  6. Give example of a function which is increasing in (-oo,2) and (3,oo) a...

    Text Solution

    |

  7. What is the value of int e^(x)dx.

    Text Solution

    |

  8. Write the solution of sqrt 3x+dy/dx=2.

    Text Solution

    |

  9. Write the equation of the line passing through the points (3,-2,-5) an...

    Text Solution

    |

  10. Find the volume of parallelopiped with edges 2vec i-3vec j ,vec i +vec...

    Text Solution

    |

  11. Show that the relation R on the set A = {1,2,3,4,5) given by R = {(a,b...

    Text Solution

    |

  12. Consider f:R(+) [4, oo] is given by f(x)= x^(2) + 4. Show that f is in...

    Text Solution

    |

  13. A merchant sells two models X and Y of TV with cost price ₹ 25000 and ...

    Text Solution

    |

  14. A binary operation * is defined on the set X=R-{-1} by x**y=x+y +xy,...

    Text Solution

    |

  15. Prove that the following. [[b+c,a,a],[b,c+a,b],[c,c,a+b]]=4ab

    Text Solution

    |

  16. Using determinants, find the values of a if the area of triangle with ...

    Text Solution

    |

  17. If A,B,C are matrices of order 2xx2 each and 2A+B+C =[[1,2],[3,0]] A+B...

    Text Solution

    |

  18. Using properties of determinant prove that |{:(alpha,beta,gamma),(alph...

    Text Solution

    |

  19. Differentiate tan^-1((2x)/(1-x^2)).

    Text Solution

    |

  20. Examine continuity and differentiability f(x)={[xsin1/x,if x!=0],[0,if...

    Text Solution

    |