User manual - Chapter 7 Computer Algebra System and Tutorial Modes (ALGEBRA FX 2.0 PLUS only)

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u EigVc

Function: Returns the eigenvector of a matrix.

Syntax: EigVc Mat

Example To determine the eigenvector of the matrix below

K2(MAT)b(CALC)e(EigVc)

!+( [ )!+( [ )d,e

!-( ] )!+( [ ) [

0.894427191 – 0.894427191

]

b,d!-( ] )!-( ] )w [

0.4472135955 0.4472135955

]

Eigenvectors are stacked vertically on the display.

In this example, (0.894427191 0.4472135955) are the eigenvectors that correspond to 5,

while (–0.894427191 0.4472135955) are the eigenvectors that correspond to 1.

An eigenvector has an infinite number of solutions. The eigenvector displayed by this

command is the one with a size of 1.

u EigVl

Function: Returns the eigenvalue of a matrix.

Syntax: EigVl Mat

Example To determine the eigenvalue of the matrix below

K2(MAT)b (CALC)f(EigVl)!+( [ )!+( [ )

d,e!-( ] )!+( [ )b,d

!-( ] )!-( ] )w {

5, 1

}

7-1-32

Using the CAS (Computer Algebra System) Mode

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