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Linear Algebra · Chapter 2 · Lesson 2.1 · Printable PDF

Writing a System as a Matrix Equation Worksheet with Answer Key

6 problems on writing a system as a matrix equation. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable Writing a system as a matrix equation worksheet with answer key - Linear Algebra (Page 1 PDF preview)
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What's on the worksheet

  1. Write each system as a matrix equation AX = B, with the variables in alphabetical order.
    4m - 3n = 11, m + 6n = -22a - c = 9, b + 5c = 0, a - 4b + 3c = 73y = 2x - 8, x + 7 = -4yp - 2r + s = 5, 3q - p = 4s
  2. Write the system that each matrix equation stands for.
  3. Consider the system 3x - y + 2z = 4, \qquad x + 5z = -3, \qquad 2y - z = 6
  4. Decide whether each system can be written as a matrix equation AX = B with X = bmatrix x \\ y bmatrix.
  5. Mateo wants to write the system 4x - z = 1, y + 2z = 7, 5x - 3y = 0 as a matrix equation.
  6. Diego roasts coffee and is mixing a house blend of Brazil, Ethiopia and Sumatra beans.

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More Chapter 2 worksheets: Linear systems and row reduction