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## Homework Statement

Compute the condition number of the following matrix:

| 1 1 |

| E -E |

where E<<l infinity norm.

## Homework Equations

l infinity norm: ||x||infinity = max |xi| where i goes from 1 to n.

Condition number: K(A) = ||A||*||A^-1||

## The Attempt at a Solution

A=

| 1 1 |

| E -E |

A^-1=

| 1 -E |

| -1 -E |

||A||infinity = max(2,0) = 2

||A^-1||infinity = max(1-E,-1-E) = 1-E

K(A) = 2(1-E) = 2-2E

Is this right or am I completely off? Thanks!