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Common Mistakes

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Frequent Errors

1. Matrix entries that do not match stated transition percents (4.14.A.1). 2. Omitting "remain in state" transitions (4.14.A.1). 3. State vector entries in wrong order (4.14.B.1). 4. Using addition instead of matrix-vector multiply (4.14.B.1). 5. Confusing one-step and n-step predictions (4.14.B.1). 6. Calling any vector steady state without T s = s check (4.14.B.2). 7. Using inverse when matrix is not invertible (4.14.B.3). 8. Unsupported conclusions without context or data (3.C).

Why These Happen

Students focus on arithmetic and skip the story-to-matrix translation.

How to Fix Them

  • Write what each entry means before multiplying.
  • Align v with the same state order used to build T.
  • Verify steady state by one more multiply.

Avoidance Scripts

  • Story first, matrix second.
  • Match state order everywhere.
  • Steady means unchanged next step.

Quick Self-Check

  • Do entries match percents?
  • Is v in the right order?
  • Did I support the conclusion?

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