#import "/src/lib.typ": *

#let m1 = mat.mat(
  (1, 2, 3),
  (4, 5, 6)
)

#let m2 = mat.mat(
  (1, 2),
  (3, 4),
  (5, 6)
)

#let m3 = mat.mul(m1, m2)
#let m4 = mat.mul(m2, m1)

$A = #mat.display(m1) quad B = #mat.display(m2)\
 C = A B = #mat.display(m3) quad D = B A = #mat.display(m4)$

#let m5 = mat.mat(
  (1, 2),
  (3, 4)
)

#let m6 = mat.mat(
  (5, 7),
  (6, 8)
)

#let m7 = mat.add(m5, m6)
#let m8 = mat.sub(m5, m6)
#let m9 = mat.transpose(m5)

$E = #mat.display(m5) quad F = #mat.display(m6)\
 E + F = #mat.display(m7) quad E - F = #mat.display(m8)\
 E^T = #mat.display(m9)$