Ex 2: Determinant of 3x3 Matrix - Diagonal Method

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This video provides an example of how to calculate the determinant using the diagonal method.
  1. Mathispower4u
  2. determinant
  3. matrix
  4. matrices
  5. diagonals
  6. product
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Комментарии
Автор

This is so much more elegant than cofactor expansion!

dieselguitar
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There is a slightly simpler variation. A. Only copy top and bottom elements. B. use the last column and write it before the matrix. C. Copy the first column as in the video, but again you can leave out the middle element. D. Adjust the diagonals accordingly. Bonus tip: When you first setup the matrix, leave space above, below, before and particularly after, the matrix to write in the extra elements, the products. I write the two sums and their subtraction in the empty space at the right end after the matrix.

nickh
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This is 100 times better method what I had before :)

Imaginaari
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This is a great shortcut thanks so much!
Just a a question when you diagonalise a matrix using this quick method you have shown if a double root exists for an eigenvalue does that mean the matrix is not diagonalisable?
Your videos have been so helpful!

icetea
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plz i need more explanation on how to choose the dimension to convert the original matrix to. for example, if we have 5x5 matrix, what dimension would you convert it to? Thank you

mohammedkazeem
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i want to know if there is like there is an unknown equation like having exp : "a"

MoonKei