# prac2 - MAS 3114—Practice Problem Set#2 1(a Find the 3 ×...

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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MAS 3114—Practice Problem Set #2 1. (a) Find the 3 × 3 matrix that produces the transformation “rotate 180 ◦ counterclockwise about the origin” with respect to homogeneous coordinates. (b) Find the 3 × 3 matrix that produces the transformation “rotate 180 ◦ counterclockwise about the point bracketleftbigg 2 3 bracketrightbigg ” with respect to homogeneous coordinates. (c) Let A be an m × n matrix. Define the nullspace of A . 2. Let A = 1- 2- 2 4 2- 1 2 4 . (a) Find a basis for the nullspace of A . (b) Find a basis for the column space of A . (c) Give the LU factorization of A . 3. (a) Define what it means for W to be a subspace of R n . (b) Let A be a 7 × 5 matrix and let vector b ∈ R 5 be a nonzero vector. Is the set { vectorx ∈ R 5 : Avectorx = vector b } a subspace of R 5 ? Give a reason for your answer. 4. (a) Find the 3 × 3 matrix which gives the composite transformation “translate by bracketleftbigg 1 2 bracketrightbigg and then reflect through the...
View Full Document

## This note was uploaded on 12/27/2011 for the course MAS 3114 taught by Professor Olson during the Fall '08 term at University of Florida.

### Page1 / 2

prac2 - MAS 3114—Practice Problem Set#2 1(a Find the 3 ×...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online