Pedro Arantesrose
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Matrix Determinant

It's a scalar value that is a function of the entries of a square matrix.
#linear-algebra
Zettelkasten, July 01, 2021 (changes)

Notes

  • It's a scalar value that is a function of the entries of a square matrix.

  • It represents the area of the parallelogram defined by the vector columns of the matrix.

  • If the value is 00, then:

    • the column vectors are linearly dependent.
  • If the value is not 00, then:

    • the column vectors are linearly independent;
    • the matrix is invertible.

Questions

  • In one sentence, shows that det(M1M2)=det(M1)det(M2)\det(M_1M_2) = \det(M_1)\det(M_2).

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