Home
Class 12
MATHS
If A=[(1,-1),(-1,1)] and A^(2)=lamdaA, t...

If `A=[(1,-1),(-1,1)]` and `A^(2)=lamdaA`, then the value of `lamda` is :

A

1

B

2

C

4

D

8

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 11

    EDUCART PUBLICATION|Exercise SECTION- C|4 Videos

  • SAMPLE PAPER 11

    EDUCART PUBLICATION|Exercise SECTION- C|4 Videos

  • SAMPLE PAPER 09

    EDUCART PUBLICATION|Exercise SECTIONS-C|8 Videos

  • SAMPLE PAPER 2

    EDUCART PUBLICATION|Exercise Mathematics (Section - A) |1 Videos

Similar Questions

Explore conceptually related problems

If |(-12,0,lamda),(0,2,-1),(2,1,15)| = -360 , then the value of lamda is

Let N=(2+1)(2^(2)+1)(2^(4)+1)......(2^(32)+1)+1and n2^(lamda)"then the value of" lamdais

If the vectors, P=(a+1)i+aj+ak,q=ai+(a+1)j+ak and r=ai+aj+(a+1)k,(a in R) are coplanar and 3(p*q)^(2)-lamda|rxxq|^(2)=0 , then the value of lamda is _______ .

If (3)/(2+costheta+isintheta)=a+ib"where"i=sqrt(-1)anda^(2)+b^(2)=lamdaa-3," the value of " lamda is

Let A=[{:(1,2,1),(0,1,-1),(3,1,1):}] . Find the sum of all the value of lamda for which there exists a column vertor Xne0 such that AX=lamdaX .

If the point A ( lamda , 5 , -2) lies on the line (x + 1)/(7) = ( y + 1)/(- 6) = ( z + 1)/(1) , then the value of lamda is

EDUCART PUBLICATION-SAMPLE PAPER 11 -SECTION- B
  1. If sin (cot^(-1)(1-x))=cos(tan^(-1)(-x)), then x is

    Text Solution

    |

  2. If A=[(1,-1),(-1,1)] and A^(2)=lamdaA, then the value of lamda is :

    Text Solution

    |

  3. If A=[(1,2),(3,-1)]" and B "=[(1,3),(-1,1)], then matrix AB is a :

    Text Solution

    |

  4. If y=sin t -cos t and x=sin t+cost, then (dy)/(dx) at t=(pi)/(6) is :

    Text Solution

    |

  5. The interval in which the function f(x)=2x^(3)-9x^(2)+12x-15 is increa...

    Text Solution

    |

  6. The equation of tangent to the curve 16x^(2)+9y^(2)=145 at the (2,y(1)...

    Text Solution

    |

  7. If x = cos theta and y = sin^(3) theta, then |(yd ^(2)y)/(dx ^(2))+((d...

    Text Solution

    |

  8. If the system of linear equations x-y=0,2x+3y+4z=17 and y+2z=7 are wr...

    Text Solution

    |

  9. Simplify: cos theta[{:(costheta,sintheta),(-sintheta,costheta):}]+si...

    Text Solution

    |

  10. The value of sin^(-1)(sin""(2pi)/(3))+cos^(-1)(cos""(7pi)/(6)) is

    Text Solution

    |

  11. Let the relation R is a set of real numbers be defined as R={(x,y),y=3...

    Text Solution

    |

  12. Tangents to the curve y=x^(3)+3x at x=1 and x=-1 are :

    Text Solution

    |

  13. If y=sqrt(x)+(1)/(sqrt(x)), then (dy)/(dx)=

    Text Solution

    |

  14. The adjoint of matrix [(3,2),(-1,4)] is :

    Text Solution

    |

  15. The corner points of a feasible region determined by a system of linea...

    Text Solution

    |

  16. From the matrix equation AB=AC, we conclude B=C provided.

    Text Solution

    |

  17. The derivation of sqrt((1-cosx)/(1+cosx)) w.r.t. x is

    Text Solution

    |

  18. Determine the intervals in which the following functions are strictly ...

    Text Solution

    |