Chapter 1

This is the first chapter of the book.

I’m putting some stuff here to test the rebuild process.

Chapter 2

This is the second chapter.

Here’s a test image:

Chapter 3

A third chapter that tests syntax highlighting.

Here’s some code

type Mat = list[list[int]]

def mat_reduce(m: Mat, q: int) -> Mat:
  '''return matrix in reduced-row eschelon form'''
  for i in range(len(m)):
    if m[i][i] != 1:
      # reduce row
      inv = pow(m[i][i], q - 2, q) # get inverse
      m[i] = [(v * inv) % q for (j, v) in enumerate(m[i])] # reduce

    for j in range(len(m)):
      if i != j:
        f = m[j][i]
        m[j] = [(m[j][k] - f * m[i][k]) % q for k in range(len(m[j]))]

  return m

def test_mat_reduce() -> None:
  '''test mat_reduce()'''
  tests: list[tuple] = [(
    [[1, 2, 3], [3, 4, 1]], # mat
    5, # q
    [[1, 0, 0], [0, 1, 4]], # exp
  ), (
    [[3, 4, 1], [1, 2, 3]], # mat
    5, # q
    [[1, 0, 0], [0, 1, 4]], # exp
  )]

  for (i, t) in enumerate(tests):
    val, q, exp = t
    assert mat_reduce(val, q) == exp, f'test {i} failed: {val=}, {exp=}'