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Problem-solving strategies for eigenvalues in linear algebra
Passed 3 of 9 test cases with the skill, and 2 of 9 without it.
2 fixed5 passed either way15 still failing0 broke
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One of 2 test cases the skill fixed. Same model, same prompt, with and without the skill.
When verifying that Av = lambda*v in step 4, which script and subcommand should be called?
| Checked | Without skill | With skill |
|---|---|---|
| Calls z3_solve.py with prove command | Missed | Passed |
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Use this skill when working on eigenvalues problems in linear algebra.
Compute Characteristic Polynomial
sympy_compute.py charpoly "[[a,b],[c,d]]" --var lamFind Eigenvalues
sympy_compute.py eigenvalues "[[1,2],[3,4]]"Find Eigenvectors
sympy_compute.py eigenvectors "[[1,2],[3,4]]"Verify
z3_solve.py proveuv run python -m runtime.harness scripts/sympy_compute.py eigenvalues "[[1,2],[3,4]]"
uv run python -m runtime.harness scripts/sympy_compute.py charpoly "[[a,b],[c,d]]" --var lam
test cases passed, vs 2 / 9 without
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