Chose 10 random numbers with values between 1 and 20, and submit the first 10 numbers as an answer to this question. For the purpose of using them in the next questions, call these numbers A, B, C, D, . . . J Convert Aπ/B into degrees. Find the result of a. Degrees = (A × B × C) + 180 mod 180; this is the remainder after dividing (A × B × C) + 180 by 180 b. Convert Degrees into radians, and put the answer in π notation.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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  1. Chose 10 random numbers with values between 1 and 20, and submit the first 10 numbers as an answer to this question. For the purpose of using them in the next questions, call these numbers A, B, C, D, . . . J

  2. Convert Aπ/B into degrees.

  3. Find the result of
    a. Degrees = (A × B × C) + 180 mod 180; this is the remainder after dividing (A × B × C) + 180 by 180

    b. Convert Degrees into radians, and put the answer in π notation.

  4. Calculate the measurements of the acute angles of a right triangle whose sides measure A, B, C units.

  5. Build a matrix, M, of random numbers as follows:

    A

    B

    C

    D

    E

    F

    G

    H

    I

  6. What is MT?

  7. Find the inverse of M, showing the steps.

  8. What is the result of M * M−1?

  9. Let V = [A B C] and W = [ D E F]. In the textbook, the dot product V • W involves an angle, alpha (α). How do you calculate alpha for this example?

  10. Let V = [A B C]. Find the cross product V • V. What can you conclude from this result?

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Follow-up Question
  1. Find the result of
    a. Degrees = (A × B × C) + 180 mod 180; this is the remainder after dividing (A × B × C) + 180 by 180

    b. Convert Degrees into radians, and put the answer in π notation.

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Follow-up Question
  1. Calculate the measurements of the acute angles of a right triangle whose sides measure A, B, C units.

  2. Build a matrix, M, of random numbers as follows:

    A

    B

    C

    D

    E

    F

    G

    H

    I

  3. What is MT?

Solution
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