HP Prime Graphing NW280AAABA manual EIGENVALmatrix, 37228… -0.37228…, Eigenvv matrix, Jordanmatrix

Trace Finds the trace of a square matrix. The trace is equal to the sum of the diagonal elements. (It is also equal to the sum of the eigenvalues.)

TRACE(matrix)

Example:

TRACE⎛⎜ 1 2 ⎞⎟ returns 5 ⎝ 3 4 ⎠

Advanced

Eigenvalues Displays the eigenvalues in vector form for matrix.

EIGENVAL(matrix)

Example:

EIGENVAL⎛⎜ 1 2 ⎞⎟ returns: ⎝ 3 4 ⎠

5.37228… –0.37228… .

Eigenvectors Eigenvectors and eigenvalues for a square matrix. Displays a list of two arrays. The first contains the eigenvectors and the second contains the eigenvalues.

EIGENVV(matrix)
Example:
		⎛		⎞
EIGENVV			1 2		returns the following matrices:
		⎜		⎟
		⎝	3 4	⎠
⎧									⎫
	0.4159	… –0.8369…				,	5.3722…	0
⎨									⎬
⎩	0.9093… 0.5742…						0	–0.3722…	⎭

Jordan Returns the list made by the matrix of passage and the Jordan form of a matrix.

jordan(matrix)

Example:

jordan⎛⎜ 0 2 ⎞⎟ returns ⎝ 1 0 ⎠

2 – 2 , 1 1

2 0

0– 2

480 Matrices