Finding the determinant of a 4x4 matrix by using elementary row operations and cofactor expansions

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  • Опубликовано: 24 ноя 2024

Комментарии • 9

  • @jaysonhaddon6938
    @jaysonhaddon6938 2 года назад +1

    Thanks you, sick of worthless teachers and textbooks, they make these classes an absolute waste of time.

    • @davidfriday7498
      @davidfriday7498  2 года назад +2

      I'm sorry to hear that you've been experiencing frustration through your educational experience. I'm sure that that frustration is on both ends of teaching through the pandemic. I'm glad you found benefit from this example.

    • @hamzamaken9323
      @hamzamaken9323 2 года назад

      @@davidfriday7498 things were same before the pandemic too
      these college professors have absolute power and it has corrupted them absolutely, most of the time they genuinely don't give two shits about making the lecture engaging or easy to digest

    • @davidfriday7498
      @davidfriday7498  2 года назад +5

      @@hamzamaken9323 your experience is far too common. I know plenty of people in my profession that are simply in it for the paycheck rather than in it for the experience. Please know that there are plenty of us out there that are doing our best for our students. Find those professors and get to know them. Outside of the classroom, we are people, just like you.

  • @not12.
    @not12. 6 месяцев назад

    why did you pull the 8 out? when you can simply just divide by 8? since this is a matrix? why was the 8 outside on the side? I thought you can simply just divide it by 8 and that would still be the same matrix
    ]

    • @davidfriday7498
      @davidfriday7498  6 месяцев назад

      The short answer is "no, it would not be the same matrix." Dividing something by 8 changes its value eightfold; literally the definition of division.
      I believe you are thinking about operations that can be done to both sides of an equation. If you divide both sides of an equation by 8, then yes, the equation is equivalent to its predecessor. But arbitrarily dividing something, like an expression, a matrix, or a row of a matrix, by 8 does indeed change its value.

    • @not12.
      @not12. 6 месяцев назад

      @@davidfriday7498 how about row reduce echelon form? i was taught that i can switch rows and take division and multiplication to cancel out
      also would another way to do this , getting it down to row reduce echelon form and doing a multiplication of lamda cross multiplication?
      Thank you

  • @Void_V0rtex
    @Void_V0rtex 24 дня назад

    You titled your video as elementary row operations but never used a row operation, instead used only column operations...

    • @davidfriday7498
      @davidfriday7498  21 день назад

      A title can only have 100 characters. Changing "row" to "column" puts me at 101 characters. So... pretend I used a transpose?