Home
Class 11
MATHS
If A = [(lambda,1),(-1,-lambda)], then f...

If A = `[(lambda,1),(-1,-lambda)]`, then for what value of `lambda,A^(2)=0`?

A

0

B

`pm1`

C

`-1`

D

1

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER-6 (UNSOLVED)

    FULL MARKS|Exercise PART-II|10 Videos
  • SAMPLE PAPER-6 (UNSOLVED)

    FULL MARKS|Exercise PART-III|10 Videos
  • SAMPLE PAPER-20 (MOCK TEST PAPER)

    FULL MARKS|Exercise PART-IV|5 Videos
  • SAMPLEPAPER - 15 (UNSOLVED)

    FULL MARKS|Exercise Part - IV (IV. Answer all the questions.)|7 Videos

Similar Questions

Explore conceptually related problems

If A = [{:(lambda,1),(-1,-lambda):}] , then for what values of lambda, A^(2) =0 ? …………..

If z=(lambda+3)+isqrt(5-lambda^2) then the locus of Z is

If |(a^2+lambda^2, a b+clambda, ca-blambda), (a b-clambda, b^2+lambda^2, b c+a), (ca+blambda, bc-alambda, c^2+lambda^2)| |(lambda, c, -b), (-c,lambda, a), (b,-a,lambda)|=(1+a^2+b^2+c^2)^3 , then he value of lambda is a. 8 b. 27 c. 1 d. -1

If the rank of the matrix [(lambda,-1,0),(0, lambda,-1),(-1,0,lambda)] is 2, then find lambda .

Find the value of lambda so that the points P ,Q ,R and S on the sides O A ,O B ,OC and A B , respectively, of a regular tetrahedron O A B C are coplanar. It is given that (O P)/(O A)=1/3,(O Q)/(O B)=1/2,(O R)/(O C)=1/3 and (O S)/(A B)=lambdadot (A) lambda=1/2 (B) lambda=-1 (C) lambda=0 (D) for no value of lambda

If roots alpha, beta of the equation (x^(2)-bx)/(ax-c)=(lambda-1)/(lambda+1) are such that alpha+ beta=0 , then the value of lambda is

If 4x+8cos x+tanx-2 sec x-4 log {cos x(1+sinx)}ge 6 for all x in [0, lambda) then the largest value of lambda is