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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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Presentation Transcript
slide1

an algorithm to generate the

characteristic polynomial

for a 3x3 matrix

slide3

M

det M

The constant term is

minus the determinant

of the matrix M.

slide4

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

M

trace M

det M

The coefficient of the  term is:

+

slide6

M

trace M

det M

The coefficient of the  term is:

+

+

slide7

M

trace M

det M

The coefficient of the  term is:

+

+

slide9

M

det M = 45

The constant term is

minus the determinant

of the matrix M =45

slide10

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

M

11

45

The coefficient of the  term is:

+

slide12

M

11

45

The coefficient of the  term is:

9

+

+

slide13

M

11

45

The coefficient of the  term is:

9

9

+

+

slide14

M

39

11

45

The coefficient of the  term is:

9

9

21

+

+

slide15

M

39

11

45

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