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Problem-solving strategies for vector spaces in linear algebra
Passed 21 of 23 test cases with the skill, and 17 of 23 without it.
and 2 more in the full report
5 fixed16 passed either way1 still failing1 broke
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One of 5 test cases the skill fixed. Same model, same prompt, with and without the skill.
To execute the coordinate transformation formula $[v]_{new} = P^{-1} [v]_{old}$, which script subcommand should be run on transition matrix $P$?
| Checked | Without skill | With skill |
|---|---|---|
| Specify using sympy_compute.py inverse. | Missed | Passed |
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Use this skill when working on vector-spaces problems in linear algebra.
Check Subspace
z3_solve.py proveLinear Independence
sympy_compute.py nullspace "A"Basis and Dimension
sympy_compute.py rref "A" to find pivot columnsChange of Basis
sympy_compute.py inverse "P"uv run python -m runtime.harness scripts/sympy_compute.py nullspace "[[1,2,3],[4,5,6]]"
test cases passed, vs 17 / 23 without
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