Task: First set of batch examples for multiple linalg functions

[bmwoodruff]

Description:

I'll be creating a branch that contains new examples for several functions from the linalg module.

Acceptance Criteria:

• For each example below, I'll check the example using the development version of numpy, use the output produced rather than AI's output, and properly format the example.
  • np.linalg.svd
  • np.linalg.outer
  • np.linalg.trace
  • np.linalg.matrix_rank
  • np.linalg.multi_dot
  • np.linalg.vecdot
  • np.linalg.matmul
  • np.linalg.det
  • np.linalg.svdvals - I know @ogidig5 is working on this one. I plan to include it anyway here, though I'll remove it before sending anything off as a PR.
  • np.linalg.eig
• I'll push the branch to my fork of Numpy.
• I'll Provide a link to that branch here.

[bmwoodruff]

I started page for review at

• Review: Batch of 10 functions from linalg ready for review #40
  I ended up making two branches. The first was my working branch, where I saved things as I went. The second branch I used rebase and squash so that everything appears in one commit, clean and pretty to send off to Numpy.
• (messy working branch) numpy/numpy@main...bmwoodruff:numpy:first-batch-examples-linalg
• (rebased and squashed) numpy/numpy@main...bmwoodruff:numpy:ai-gen-examples-linalg-batched

[bmwoodruff]

I shared the files that I used while helping me complete this in PR #48