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Give all the extreme points of the set
S = {(x, y) | 2x + 3y ≤ 6, − 3x + 2y ≤ 6, − 5x − 6y ≤ 30, 4x − 2y ≤ −24}.
S = {(x, y) | 2x + 3y ≤ 6, − 3x + 2y ≤ 6, − 5x − 6y ≤ 30, 4x − 2y ≤ −24}.
Explicitly give the elements and structure of the group Sn/An,n>_5
Apply the Gram-Schmidt orthogonalisation process to find an orthonormal basis for the subspace of R4 generated by the vectors
{(-1,1,0,1),(1,0 ,-1,0),(1,0,2,-1)}
{(-1,1,0,1),(1,0 ,-1,0),(1,0,2,-1)}
Let T: R4-R4 be defined by
T(x1,x2,x3,x4)=(-x2,x1,-x4,x3)
Check whether T is a linear operator and T4=I. Is T invertible?
T(x1,x2,x3,x4)=(-x2,x1,-x4,x3)
Check whether T is a linear operator and T4=I. Is T invertible?
Find a group G and homomorphism phi of G ......
Give an example of a LPP with more than one optimal solution
Determine the spacing h in a table of equally spaced values for the function f(x)= (2+x)^4 , 1≤x≤2 so that the quadratic interpolation in this table satisfies | error|≤ 10^-6
find all the units of Z12
Explicitly give the elements and structure of the group Sn/An, n≥5.
If the second moment of a Poisson distribution is 6 , find the probability P(X ≥ 2).
