Unit3 2 Matrix Algebra

Student Activities:
  1. Linear Shoot Given a 2x2 transformation matrix and a point how accurately can you find the position of the image point? (Université de Nice - Sophia Antipolis)
  2. Multiplication of Matrices. How do you do it? An audio/visual tutorial .mov file (NC State University)
  3. Systems of Equations Audio/visual tutorials on using row operations to solve systems of equations (NC State University)
  4. Matrix Inverses Audio/visual tutorials on finding matrix inverses and solving systems of equations (NC State University)
  5. Review of Strategy for Selecting Row Operations An audio/visual tutorial (NC State University)
  6. Matrix World An animation covering much of the work in this unit (Cramer's Rule is not relevant) (thinkwell.com)

 

Teaching Resources:
  1. Visual Gauss An interactive step-by-step calculator for finding the inverse of a 3x3 matrix using Elementary Row Operations (Université de Nice - Sophia Antipolis)
  2. Matrix Transformations. The effect of a 2x2 transformation matrix on a shape in the first diagram is shown dynamicaly on the second diagram. You can change the matrix or the shape watching the effect in real-time (mathsnet.net)
  3. Sums and Products Enter values into any of the matrices A, B or C, then select various options: add or multiply the matrices, swap the order etc (mathsnet.net)
  4. Inverses and Determinants Enter values into any of the 3x3 matrices A, B or C, then select various options: swap the matrices around, find the inverse (if it exists) or the determinant. (mathsnet.net)
  5. Matrix Algebra Tool A Matrix Calculator: type in named matrices eg A, B etc, type in formula using A, B etc and the resulting matrix is computed (NC State University)
  6. Row Operation Tool An interactive calculator that performs row operations. Type in the matrix then give the calculator the row operation instructions (NC State University)

 

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