Recent content by Cankur

  1. C

    Graduate Solving Supremum Question: Is 4 the Right Answer?

    Thanks for the answers! I see that there were quite essential things that I missed. But you don't think I deserve some points for my answer?
  2. C

    Graduate Solving Supremum Question: Is 4 the Right Answer?

    Hello! I had a test in which the question that I will present here was asked. I got no points for my attempt at a solution. Do you think that I was still on the right track and that I deserve partial points? Here is the question: "A number M is said to be an upper bound to a set A if M...
  3. C

    Undergrad How Do You Find Non-Parallel Vectors in a Plane Defined by an Equation?

    Hello! I was just thinking, say, I have a plane with the equation x + 3y + 2z = 0. How would I go about finding two vectors in that plane (that are not parallell)? Sidenote: I pretty much get the intuition of how a plane with the given equation would look but what would happen if x + 3y...
  4. C

    High School How can I visualize the plane y=z?

    Hello I am trying to solve a problem that involves "the plane y=z". How exactly should I think of this plane? It's obviously one of three planes that can be formed between the three diffirent axes, but which one? What is the intuition behind "y=z"? A really basic question to some of you, I...
  5. C

    Finding the matrix of a transformation

    It should move it half of 90 degrees. But what matrix would achieve that? A matrix that looks like this perhaps: [0 1/2] [1/2 0] How should you think when you have problems of this sort?
  6. C

    Finding the matrix of a transformation

    Homework Statement Consider the transformation T from R2 to R2 that rotates any vector x through an angle of 45 degrees in the counterclockwise direction. You are told that T is a linear transformation. Find the matrix of T. Homework Equations The Attempt at a Solution A vector...
  7. C

    Undergrad Is ∫abs(2x-1)dx Considered an Improper Integral?

    Thanks for the answers. Great explanation! Thanks to Austintrose as well for the very interesting link.
  8. C

    Undergrad Is ∫abs(2x-1)dx Considered an Improper Integral?

    Sorry for forgetting to mention that. The lower limit is 0 and the upper limit is 3.
  9. C

    Undergrad Is ∫abs(2x-1)dx Considered an Improper Integral?

    Hello everyone! My first time on this forum :). Could anybody please help me with the following? I need to know whether this: ∫abs(2x-1)dx is an improper integral and if so, why? I use abs( as a notation for absolute value. Thanks for the help!