                                        
#import "template.typ": *
#show: template.with(
  title: [MAT122 Assignment 1],
  short_title: "MAT122 A1",
  description: [
  ],
  date: datetime(year: 2023, month: 10, day: 01),
  authors: (
    (
      name: "<NAME>",
    ),
  ),
  affiliations: (
    (id: "1", name: "Brac University"),
  ),
  bibliography_file: none,
  paper_size: "a4",
  cols: 1,
  text_font: "XCharter",
  code_font: "Cascadia Mono",
  accent: black, 
)


= #underline[Lecture: Measure Theory]

$ A(x-2)+B(y-3)+C(z-1) = 0 $
$ A(4-2)+B(-5-3)+C(3-1) = 0 $
$ underline(#h(30pt) A dot 0 + B dot 0 + C dot 1 = 0 #h(30pt)) $
$ mat(x-2, y-3, z-1; 2, -8, 2; 0, 0, 1) mat(A;B;C)=mat(0;0;0) $
Since A, B, C has non trivial values, the det of the above matrix is 0:
$ mat(delim:"|", x-2, y-3, z-1; 2, -8, 2; 0, 0, 1) = 0 $
$ => -8(x-2) -2(y-3) + 0 = 0 $
$ => 4x+y=11 $







#pagebreak()



#theorem("Hellloooo")[
  $ "You" = "POsA" $
  $ ["Proved"] $
]










