MAT3040 Advanced Linear Algebra

Deliberately flawed arguments in linear algebra. Choose an example to explore a FakeGPT conversation.

  1. Identify exactly where the proof goes wrong.
  2. Decide whether the original statement is correct. Give a correct proof or a counterexample.
1 exampleVector spaces and subspaces. 1 examplePairwise intersections and direct sums. 1 exampleKernels, images, and direct sums. 1 exampleQuotient spaces and matrix transpose.