characteristic polynomial for a 3x3 matrix
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characteristic polynomial for a 3x3 matrix







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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 .
characteristic polynomial for a 3x3 matrix

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Slide 1

an algorithm to generate the

characteristic polynomial

for a 3x3 matrix

Slide 2

M

Slide 3

M

det M

The constant term is

minus the determinant

of the matrix M.

Slide 4

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.

Slide 5

M

trace M

det M

The coefficient of the  term is:

+

Slide 6

M

trace M

det M

The coefficient of the  term is:

+

+

Slide 7

M

trace M

det M

The coefficient of the  term is:

+

+

Slide 8

example:

Slide 9

M

det M = 45

The constant term is

minus the determinant

of the matrix M =45

Slide 10

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

Slide 11

M

11

45

The coefficient of the  term is:

+

Slide 12

M

11

45

The coefficient of the  term is:

9

+

+

Slide 13

M

11

45

The coefficient of the  term is:

9

9

+

+

Slide 14

M

39

11

45

The coefficient of the  term is:

9

9

21

+

+

Slide 15

M

39

11

45


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