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# Characteristic polynomial for a 3x3 matrix - PowerPoint PPT Presentation

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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characteristic polynomial

for a 3x3 matrix

det M

The constant term is

minus the determinant

of the matrix 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.

trace M

det M

The coefficient of the  term is:

+

trace M

det M

The coefficient of the  term is:

+

+

trace M

det M

The coefficient of the  term is:

+

+

det M = 45

The constant term is

minus the determinant

of the matrix M =45

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

11

45

The coefficient of the  term is:

+

11

45

The coefficient of the  term is:

9

+

+

11

45

The coefficient of the  term is:

9

9

+

+

39

11

45

The coefficient of the  term is:

9

9

21

+

+

39

11

45