- 1

- 0

**1. Homework Statement**

Determine constants c and C that do not depend on vector x. For this to be true:

Use this result and the definition of matrix norms to determine constants k and K so that:

**2. Homework Equations**

**3. The Attempt at a Solution**

I've done half of this problem. For c and C it was not hard. I found that if c = 1/n (n being the number of terms in the vector) and C = 1 the statement holds true.

The second half on the other hand has me stumped. The infinity norm and the one-norm only seem to share one term, due to one being the max row sum and the other being the max column sum. Can anyone give me any direction?

Thanks.