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Exam Strategy

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Readiness Check

You are ready when you can:

  • Describe I and multiply a matrix by I.
  • Compute det(A) for 2x2 A.
  • Decide if A^-1 exists.
  • Find and verify a 2x2 inverse.
  • Interpret |det| as area when appropriate (3.B).

Course vs AP Exam

Course scope only (Unit 4 additional topic; not on the AP Exam). These skills still matter for Unit 4 coursework and readiness for 4.12-4.14.

Tactics (course assessments)

1. Compute det(A) first. 2. If det=0, state no inverse and explain (parallel vectors if applicable). 3. If det!=0, find A^-1 (formula or technology). 4. Verify AA^-1=I using multiplication from 4.10. 5. For area, use |det(A)| with vector columns/rows (4.11.B.2).

Common Traps

  • Sign error in ad-bc.
  • Attempting inverse when det=0.
  • Skipping verification multiply.
  • Using det without absolute value for area.

Quick Checklist

  • [ ] det(A) computed
  • [ ] Invertibility decided
  • [ ] Inverse found when defined
  • [ ] AA^-1=I verified
  • [ ] Area/context interpreted when asked

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