An algorithm to generate the
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Characteristic polynomial for a 3x3 matrix - PowerPoint PPT Presentation


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an algorithm to generate the. characteristic polynomial for a 3x3 matrix. M. M. det M. The constant term is minus the determinant of the matrix M. M. trace M. det M. The coefficient of the  2 term is minus the trace of the matrix M .

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Slide1 l.jpg

an algorithm to generate the

characteristic polynomial

for a 3x3 matrix


Slide2 l.jpg

M


Slide3 l.jpg

M

det M

The constant term is

minus the determinant

of the matrix M.


Slide4 l.jpg

M

trace M

det M

The coefficient of the 2 term is minus

the trace of the matrix M .

The trace of the matrix M = a + e + i.


Slide5 l.jpg

M

trace M

det M

The coefficient of the  term is:

+


Slide6 l.jpg

M

trace M

det M

The coefficient of the  term is:

+

+


Slide7 l.jpg

M

trace M

det M

The coefficient of the  term is:

+

+



Slide9 l.jpg

M

det M = 45

The constant term is

minus the determinant

of the matrix M =45


Slide10 l.jpg

M

trace M=11

45

The coefficient of the 2 term is minus

the trace of the matrix M .

The trace of the matrix M = a + e + i = 11


Slide11 l.jpg

M

11

45

The coefficient of the  term is:

+


Slide12 l.jpg

M

11

45

The coefficient of the  term is:

9

+

+


Slide13 l.jpg

M

11

45

The coefficient of the  term is:

9

9

+

+


Slide14 l.jpg

M

39

11

45

The coefficient of the  term is:

9

9

21

+

+


Slide15 l.jpg

M

39

11

45


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