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Linear Algebra · Chapter 3 · Lesson 3.2 · Printable PDF

Linear Transformation Worksheet with Answer Key

7 problems on linear transformation. 3 pages, with a worked answer key.

7 problems3 pagesanswer key
Printable Linear transformation worksheet with answer key - Linear Algebra (Page 1 PDF preview)
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What's on the worksheet

  1. Decide whether each map is linear.
    T(x, y) = (2x - 3y,\ y - x,\ 4x)T(x, y) = (x + y,\ xy)T(x, y, z) = (x - 2z,\ 3)T(x, y, z) = (z,\ x + y + z)T(x, y) = (3x,\ \max(x, y))
  2. A linear transformation $T:
  3. Let k be a real number.
  4. e1 e2 T(e1) T(e2) O The figure shows the unit square and its image under a linear transformation T of the plane.
  5. Omar runs the lights for a school play.
  6. Let a = (1, -2, 3) and b = (2, 1), and define $T:
  7. Let $T:

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Linear transformation: the lesson ›

More Chapter 3 worksheets: Matrix algebra and linear transformations