Recent content by mbud

  1. M

    Is Calculating Only the Fourier Sine Series Sufficient for f(x) = x^3 on [-1,1]?

    thanks.
  2. M

    Is Calculating Only the Fourier Sine Series Sufficient for f(x) = x^3 on [-1,1]?

    Homework Statement Determine a general Fourier series representation for f(x) = x^3 -1<x<1Homework Equations The Attempt at a Solution May seem like a stupid Q, but would i have to calculate a0, an, bn or since i know that x^3 is an odd function, could jump straight into calculating the...
  3. M

    Undergrad How Do You Determine if a Linear Transformation is Injective?

    thanks
  4. M

    Undergrad How Do You Determine if a Linear Transformation is Injective?

    I was just wondering how you know if linear transformations injective?
  5. M

    Linear Transformations using polynomials

    Thanks, for the help, but i still don't know how to explain (MD)^4 = 0 I can show it using matrices, but when it comes to words, I am flabbergasted.
  6. M

    Linear Transformations using polynomials

    Homework Statement Let P3 be the space of all polynomials (with real coefficients) of degree at most 3. Let D : P3 -> P3 be the linear transformation given by taking the derivative of a polynomial. That is D(a + bx + cx2 + dx3) = b + 2cx + 3dx2: Let B be the standard basis {1; x; x2; x3}...