*This preview shows
pages
1–2. Sign up
to
view the full content.*

This
** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*
**Unformatted text preview: **to be 1 m [ m 1 v 1 + ... + m n v n ] Suppose there are three objects, located at (1 , 1), (2 , 1), and (7 , 1), with masses 2, 6, and 2. Where do you place a fourth object with a mass of 2 so that the center of mass will be (3 , 2)? 5. Let A be a 3 × 4 matrix, let y 1 and y 2 be vectors in R 3 , and let w = y 1 + y 2 . Suppose y 1 = A x 1 and y 2 = A x 2 for some vectors x 1 and x 2 in R 4 . What fact allows you to conclude that system A x = w is consistent? 1 6. Let b be a vector in R n . If the matrix equation A x = b is consistent for all n × k matrices A what is b ? 2...

View
Full
Document