(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find d(u,v), where the inner product is defined by the matrix

[1 2]

[-1 3]

andu= (-1, 2),v= (2, 5)

2. Relevant equations

<u,v> = Au. Av

d(u,v) = abs(u-v)

3. The attempt at a solution

I first tried to find the resulting inner product from the matrix in terms of an equation:

I got it to be:

2u_{1}v_{1}+ 13u_{2}v_{2}

Then I simply foundu-v, which came to be (-3, -3)

And thus d(u,v) = <-3, -3>^{0.5}

This, in terms of the relevant inner product, is:

[2(9) + 13(9)]^{0.5}

Unfortunately, the books answer does not agree? It says it is 3 times root 13. I get root 135?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Inner product generated by matrix

**Physics Forums | Science Articles, Homework Help, Discussion**