Fall 2024

Math 3110 Linear Algebra for Engineers

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Homework 2

Due Wednesday September 4, in class
  • Section 1.4
    • Read Section 1.4.
    • Worked example (group work): 6*, 7*.
      • 6*, 7*. Follow the directions for Problems 6 and 7 in Problem Set 1.4, but with the matrix \[A = \left[\matrix{1&2&0&3&0\cr-1&-2&1&4&1\cr 2&4&0&6&1}\right] \]
      • Homework: 3, 5, 6, 7, 9, 11, 12, 19
      • Hand In: 6, 7, 12:
    • Section 2.1
      • Read Section 2.1.
      • A Geogebra system of three equations in three unknowns activity
      • Worked example (group work): 13*.
        • 13*. Follow the directions for Problem 13 in Problem Set 2.1, but with the system \[\matrix{x&+&2y&+&z&=&0\cr 3x&+&dy&+&z&=&2\cr & &y&-&z&=&3}\]
      • Homework: 1, 3, 4, 6-8, 10-16, 18, 19, 21, 25
      • Hand In: 7*, 13**, 21*:
        • 7*. Follow the directions for Problem 7 in Problem Set 2.1, but with the system \[\matrix{ax&+&2y&=&-3\cr 9x&+&6y&=&9}\]
        • 13**. Follow the directions for Problem 13 in Problem Set 2.1, but with the system \[\matrix{2x&+&4y&+&z&=&0\cr 4x&+&dy&+&z&=&2\cr & &y&-&z&=&3}\]
        • 21*. Follow the directions for Problem 21 in Problem Set 2.1, but with the row sums \(4\) and \(6\) and column sums \(3\) and \(s\). (The four equations in the variables \(a, b, c, d\) will have to be adjusted.)