If omega is a complex cube root of 1,the...

If `omega` is a complex cube root of 1,then for what value of. lamda the determinant `|[1,omega,omega^(2)],[omega,lamda,1],[omega^(2),1,omega]|=0` ?

Topper's Solved these Questions

MODEL QUESTION PAPER-5
SHARAM PUBLICATION|Exercise EXERCISE|39 Videos
QUESTION PAPER 2011
SHARAM PUBLICATION|Exercise EXERCISE|55 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following determinants. [[1,omega,omega^2],[omega,omega^2,1],[omega^2,1,omega]]

Solve the following : [[x+1,omega,omega^2],[omega,x+omega^2,1],[omega^2,1,x+omega]] =0

if omega be the cube root of unit then what is the value of |[1,omega ,omega^2],[omega, omega^2,1],[omega^2,1,omega ]| ?

Evaluate the following determinants. [[1,omega],[-omega,omega]]

Fill in the blanks with appropriate answer from the bracket. [[1,omega,omega^2],[omega,omega^2,1],[omega^2,1,omega]] =_________

SHARAM PUBLICATION-QUESTION PAPER 2010-EXERCISE

Write the equation of the plane passing through the point(1,-2,3)and ...
Text Solution
|
Write the solution of the following LPP Maximise Z=2x+3y Subject t...
Text Solution
|
If omega is a complex cube root of 1,then for what value of. lamda the...
Text Solution
|
If [[1, 2, 3]] A = [0] then what is the order of the matrix.
Text Solution
|
If P(A) = 1/2 and P(AnnB)=1/3 then what is the probability of (A-B)^C?
Text Solution
|
If f(x)=six x and g(x)=x^3. Then find the vlaue of (f(x)g(x))^m at x=...
Text Solution
|
Answer with reasons, whether the following function has a relative (lo...
Text Solution
|
Interpret Lagrange's mean value theorem geometrically.
Text Solution
|
the points on the curve y^2=x where the tangents makes an angle of pi...
Text Solution
|
Integrate: intsin^4xcos^3xdx
Text Solution
|
Evaluate: overset(3/2)underset(0)int[x^2]dx.
Text Solution
|
Find the area bounded by the curve x=y^2 and the straight lines x = 0,...
Text Solution
|
Find the differential equation whose general soltution is c1x^2+c2y=1 ...
Text Solution
|
Find the particular solution of the following differential equation : ...
Text Solution
|
Find an integrating factor of the differential equation (x + tan y ) d...
Text Solution
|
If the position vectors of the points A, B, C are 2hat(i) + hat(j) - h...
Text Solution
|
Find the scalar projection of the vector vec a= 3 hat i+6 hat j+9 hat ...
Text Solution
|
Find the value of lambda such that the following vectors are coplanar...
Text Solution
|
Bisecting the line segment joining (-1,4,3) and (5,-2,-1) at right ang...
Text Solution
|
Proved that the line (x-1)/2=(y+2)/(-3)=(z-3)/1 lies on the plane 7x+5...
Text Solution
|