- #1

- 15

- 0

can you show that the group of all 3 by 3 matrices

[e^t 0 u

0 e^xt v

0 0 1]

where t, u, v are in C (complex numbers) and x is in R (real number)

has no center?

Regards

- Thread starter arz2000
- Start date

- #1

- 15

- 0

can you show that the group of all 3 by 3 matrices

[e^t 0 u

0 e^xt v

0 0 1]

where t, u, v are in C (complex numbers) and x is in R (real number)

has no center?

Regards

- #2

- 15

- 0

I mean all 3 by 3 matrices with the following rows

(e^t, 0, u)

(0, e^(tx), v)

(0, 0, 1).

(e^t, 0, u)

(0, e^(tx), v)

(0, 0, 1).

- #3

matt grime

Science Advisor

Homework Helper

- 9,395

- 4

You just write down two matrices, suppose the commute and show that this implies that they are both the identity matrix.

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