Slide 1 an algorithm to generate the

characteristic polynomial

for a 3x3 matrix

Slide 2 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 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