test1 - MATH1104C - Test 1 Solution Total points: 20 Name...

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

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MATH1104C - Test 1 Solution Total points: 20 Name and Student Number: Part 1: Short Answer Questions (Steps are not necessary) 1. (1.5 points) Look at the following matrix: 1 0 1 h- k h k k 0 0 h + k Find all h and k such that the corresponding matrix is 1) in reduced row echelon form; 2) in row echelon form but not in reduced row echelon form; 3) not in row echelon form. Solution: 1) h = 0, k=0; 2) h 6 = 0, k=0; 3) h R , k 6 = 0. 2. (1.5 points) Consider the following linear system x 1- x 2 = 2 x 1 + hx 2 = k For what values of h and k does the system have 1) infinitely many solutions? 2) Only one solution? 3) No solution? Solution: 1) h =- 1 ,k = 2; 2) h 6 =- 1, k R ; 3) h =- 1 ,k 6 = 2. 3. (True/False) (2 points) The equation A~x = ~ b is homogeneous if ~ 0 is a solution of the equation. Answer: True. 4. (True/False) (2 points) The set 1 2 3 , 3 2 2 , - 2 3 ,...
View Full Document

This note was uploaded on 10/16/2009 for the course MATH MATH1104 taught by Professor Someone during the Winter '08 term at Carleton CA.

Page1 / 4

test1 - MATH1104C - Test 1 Solution Total points: 20 Name...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online