Recent content by KongMD

  1. K

    Engineering Finding Boolean functions for Xi and Yi in an arithmetic circuit with two select lines

    Homework Statement An arithmetic circuit has two select lines S1 and S2 and does the following arithmetic operations using a full adder: [function table] Determine the simplified Boolean functions for Xi and Yi for a single stage of the circuit given inputs A & B are n-bit registers...
  2. K

    Linear Transformations: Understanding n and m in T: R^n -> R^m

    Thanks a ton, Mark! It's so helpful to be able to just sit down at the end of a busy day and absorb this material at my own pace. I try and get help from my professor regarding these types of problems, but sometimes those meetings are rushed, and the concepts don't stick as much. Other times our...
  3. K

    Linear Transformations: Understanding n and m in T: R^n -> R^m

    I thought as much. I actually had that written down as the work for my problem, but was confused because the RREF'd solution matrix doesn't include a value for x3, since it only has two rows. Does this mean that x3 is "free" and therefore there's no unique solution?
  4. K

    Linear Transformations: Understanding n and m in T: R^n -> R^m

    Thanks for fixing up my Latex formatting. I tried fixing more of my original post so it would be cleaner with the Latex, but I just ended up mucking it up more. I've been doing Linear Algebra and Calc II homework for the past 4 hours and my brain is fried. I have the start and end tags in the...
  5. K

    Linear Transformations: Understanding n and m in T: R^n -> R^m

    So, was I correct in stating n = 3 and m = 2? Also, I'm still stumped on problem #2. I don't think the Latex formatting came out right in my "attempt at a solution", so I'll post the work I've done on it here. I don't think the syntax is working, so I might just have to scan the physical...
  6. K

    Linear Transformations: Understanding n and m in T: R^n -> R^m

    Homework Statement Given A = \left(\begin{array}{ccc}1&-1&1\\0&1&1\end{array}\right) Why isn't Latex working for above array :( Define a transformation as T: \Re^{n} -> \Re^{m} T(\vec{x}) = A \vec{x} 1) a. What is n? b. What is m? 2) Find \vec{x} , if possible, given that...
  7. K

    Numbers Outside of Address Range (Sign-Magnitude Rep.)

    Homework Statement +35 + -80 with only 8-bits using sign-magnitude representationHomework Equations The Attempt at a Solution Why is this possible? Allowing for one sign bit, the maximum range (in my mind) should be -63 < N < 63. I can see from my notes, however, that the limits of an 8-bit...
  8. K

    Undergrad Finding a smaller subset within a set

    Ok, here's what I've done so far. There are three sets in the original question, [-1 1], [2 -2], and [1 0]. I put those in an augmented matrix like so (sorry for crummy formatting): 1 2 1 0 1 -2 0 0 Why won't this format correctly...
  9. K

    Undergrad Finding a smaller subset within a set

    Yes. I thought that was the way to solve the problem, at first, but the last row in my solution matrix has the co-efficient matrix equaling 1. Shouldn't it equal 0 if it's consistent, because the solution vector is all zeros, or does consistency not matter?
  10. K

    Undergrad Finding a smaller subset within a set

    Hi, everyone. I'm really at a loss as to how to solve these problems. For example, a set S of three vectors is given, and there is a supposedly a linear combination of two of the sets that equals the third set. How do I go about solving a problem like this without writing out multiples of every...