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Show that there are exactly (p^2-p)/2 monic irreducible polynomials of degree 2 over Z_p, where p is any prime.
Discuss an element of drinking water where you see a public health gap or need that should be addressed.
What is the interest rate?, b. find the exponential growth function, c. what will the balance be after 10 years ?, c. when will the $ 2,000 double?
Systems of Linear Equations: Word Problem.Please help with the following problem that involves systems of linear equations.
The degree three polynomial f(x) with real coefficients and leading coefficient 1, has 4 and 3=I among its roots.
Linear Systems of Equations: Gauss-Jordan Method.Solution of Linear Systems by the Gauss-Jordan Method
Nonisomorphic Central Extensions.Describe all nonisomorphic central extensions
Linear Alegbra: Span of Dimension.What is the span of the dimension
Linear Algebra: Find a Vector in a Basis.Find the coordinates of this vector (polonomial) in the basis {1-x,1+x,x^2-1}
List all irreducible polynomial of degree 2, 3 and 4 over F 22 j u u 2 3 3 2. Prove your assertion.
Linear Algebra: Matrix of Transformation.Are the following examples linear transformations from p3 to p4?
Complete the proof of the question “For which odd primes p is LS(2, p) = 1?” by showing that (2/p) = -1 if p = 5(mod 8) and that (2/p) if p = 7(mod 8).
Linear Algebra: Vector Spaces.Consider R2 with the following rules of multiplications and additions: For each x=(x1,x2), y=(y1,y2):
Why is the set of Natural numbers an infinite set, but the set of blades of grass outside your residence a finite set? Explain.
Explain what does palindromic polynomials means? Give me examples palindromic polynomials with even and odd degree.
Linear Algebra and Numerical Analysis.Questions on a Sequence of Polynomials.
Find the polynomials that represent 1/x^3+x , x/x^3+x, x^2/x^3+x, and x^3/x^3+x modulo the irrreducible polynomial x^5+x^2+1 over F2.
Prove that there are no integers x, y, and z such that x^2 +y^2 + z^2 = 999
''Annuities are not a wise choice for certain investors''. Do you agree with that statement? Write a brief paragraph explaining why or why not.
Show that if the roots of the polynomial p are all real, then the roots of p' are all real. If, in addition, the roots of p are all simple, then the roots.
If W is a set of one or more vectors from a vector space V, then W is a subspace of V if and only if the following conditions hold.
Consider the vectors 1 and x. Find the angle theta between 1 and x. Determine the vector projection p of 1 onto x
Linear Algebra: Vectors - Inner Product.Show that the functions x and x^2 are orthogonal in P5 with inner product defined
Show all work including how eigenvalues and eigenvectors are derived.
The Lucas numbers Ln are defined by the equations L1 = 1 and Ln = Fn+1 + Fn-1 for each n > or = 2