{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

assig4

# assig4 - Math 152 Spring 2010 Assignment#4 Notes Each...

This preview shows pages 1–3. Sign up to view the full content.

Math 152, Spring 2010 Assignment #4 Notes: Each question is worth 5 marks. Due in class: Monday, February 1 for MWF sections; Tuesday, February 2 for TTh sections. Solutions will be posted Tuesday, February 2 in the afternoon. No late assignments will be accepted. 1. Consider the intersection between the following two planes given in parametric form: P 1 : x = [2 , 4 , 3] + s 1 [1 , 2 , 1] + s 2 [2 , 5 , 4] P 2 : x = [1 , 0 , - 5] + t 1 [3 , 8 , 7] + t 2 [2 , 1 , - 5] Find the intersection as a line in parametric form. 2. Reduce the matrix - 1 2 0 1 4 1 - 2 0 0 - 1 2 - 6 2 4 0 to reduced row echelon form and determine the rank of the matrix. (a) Do this question by hand. (b) Write by hand the MATLAB commands that would enter the matrix above and compute its reduced row echelon form. 3. Consider the set of vectors: a 1 = [1 , 2 , 3 , - 1] , a 2 = [ - 2 , - 3 , - 5 , 1] , a 3 = [1 , 4 , 5 , - 3] , a 4 = [ - 1 , - 3 , - 4 , 2] ,

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

View Full Document
(a) Find all possible s 1 , s 2 , s 3 , s 4 such that [4 , 1 , 3 , 5] = s 1 a 1 + s 2 a 2 + s 3 a 3 + s 4 a 4 . (b) Show that the vectors a 1 , a 2 , a 3 , a 4 are linearly dependent by ex- pressing a 3 and a 4
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 3

assig4 - Math 152 Spring 2010 Assignment#4 Notes Each...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online