thumbnail


Determinants


DOWNLOAD
FREE



thumbnail

Determinants


Determinant of a 2 ´2 matrix [Equation goes here - download the original to see it.] [Equation goes here - download the original to see it.] A determinant is a number, it is not a matrix. [Equation goes here - download the original to see it.] Determinant of a 3 ´ 3 matrix [Equation goes here - download the original to see it.] [Equation goes here - download the original to see it.] Example (3) [Equation goes here - download the original to see it.] Answer [Equation goes here - download the original to see it.] The definition seems rather cumbersome, but in practice can be quite easy to recall. Thus, in this example [Equation goes here - download the original to see it.] [Equation goes here - download the original to see it.] Now proceed to the next column. We are dealing with the contribution to the determinant from the "2" in the second column. But first… [Equation goes here - download the original to see it. [Equation goes here - download the original to see it.] [Diagram goes here - Now proceed to the last column - in this example the "2" in the third column. [Diagram [Diagram goes here - download the original to see it.] [Equation goes here - Example (4) [Equation goes here - download the original to see it.]
Contents of
Determinants

1 Determinants
2 Relationships between determinants

Related articles: (1) Inverse of a 2 x 2 matrix and determinants, (2) Linear dependence, independence, and singular and non-sinular matrices