Home
Class 12
MATHS
Let alpha, beta be the roots of equat...

Let ` alpha, beta ` be the roots of equation ` x ^ 2 - x + 1 = 0 ` and the matrix ` A = (1 ) /(sqrt3 ) |{:(1,,1,,1),(1,,alpha,,alpha ^2),(1,,beta,,-beta^ 2):}| ` , the value of det ` (A. A^T)` is

Promotional Banner

Similar Questions

Explore conceptually related problems

Let alpha, beta are the roots of the equation x^(2)+x+1=0 , then alpha^3-beta^3

If alpha , beta are the roots of the equation 1 + x + x^(2) = 0 , then the matrix product [{:( 1 , beta) , (alpha , alpha):}] [{:(alpha , beta) , (1 , beta):}] is equal to

If alpha,beta are the roots of the equation x^(2)-p(x+1)-c=0, then (alpha+1)(beta+1)=

If alpha,beta are two roots of equation 5x^(2)-7x+1=0, then (1)/(alpha)+(1)/(beta) is

Let alpha and beta be the roots of the equation x^(2) + x + 1 = 0 . Then, for y ne 0 in R. |{:(y+1, alpha,beta), (alpha, y+beta, 1),(beta, 1, y+alpha):}| is

If alpha, beta are roots of the equation x^(2) + x + 1 = 0 , then the equation whose roots are (alpha)/(beta) and (beta)/(alpha) , is

If alpha, beta are roots of the equation x^(2) + x + 1 = 0 , then the equation whose roots are (alpha)/(beta) and (beta)/(alpha) , is

If alpha and beta be the roots of the equation x^2-1=0 , then show that. alpha+beta=(1)/(alpha)+(1)/(beta)

Let alpha and beta be the roots of the equation x^(2) + x + 1 = 0 . Then, for y ne 0 in R. [{:(y+1, alpha,beta), (alpha, y+beta, 1),(beta, 1, y+alpha):}] is

If alpha, beta are the roots of the equation x^(2)-ax+b=0 .then the equation whose roots are 2 alpha+(1)/(beta), 2 beta+(1)/(alpha) is