Knowledge points of linear algebra

determinant Type

The determinant of a matrix is the volume of a multipatch, the line of the polygon corresponding to the matrix of the Multipatch

Two-dimensional case, it becomes a parallelogram.

Sex One :, which is a single matrix.

Sex Two : If you have the same two columns (row) [4],

Two vectors coincident with a quadrilateral area of 0

Sex three :

sex four : Alternating two-column positive negative

Sex Five : If 10 columns are included,

Sex Six : The column replaces the calculation, that is, any column multiplied by the constant and added to the other column, not changing the determinant

sex Seven : If the triangular matrix, equal to the main angle element multiplication

Sex Eight : If it's a reversible matrix, or if it's irreversible,

The basic column calculation of the matrix will be simplified to the upper triangular matrix, and the sex four points out that the column is converted to change the determinant of the determinants, the six-point-of-the-line to replace the operator does not change the determinant,

So. Again by the sex Seven, when the theory is reversible, all is not zero, so;

When irreversible, there must be 10 columns, that is, at least one.

Sex Nine :

Sex 10 :

Knowledge points of linear algebra