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

Let A(theta)x = b for each theta in S. Calculate,

(x dot b)/(|x||b|)

A =

[cos(theta) -sin(theta)

sin(theta) cos(theta)]

How is this related to theta?

Recall that x dot y and |x| are the standard dot-product and magnitude, respectively, from vector-calculus. These operations hold for vectors in Rn

but now have the following definitions, x dot y = x(transpose)y and |x =sqrt(x(transpose)*x)

2. Relevant equations

3. The attempt at a solution

I'm not sure how to do this because i don't know what x is or what b is, so i'm confused.

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# Homework Help: Linear algebra with dot product?

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