Math 337 -Midterm Exam 1-Spring 2011
1.(25 points) Consider the linear system
x1 x2 x3 + 2 x4 = 1
2x1 2x2 x3 + 3x4 = 3
x1 + x2 x3 = 3.
a) Find the general solution in the form x = xp + xh of the syste
Brandon Hong
MAT205 Lab 1
Write-up
1) A = randi([-5,5],3,4) used to create the following augmented matrix:
Commands to get row echelon form are as follows:
1. A = scale(A,1,1/2)
2. A = replace(A,2,-3,
MAT 205
Sample Exam 1
Name:
Show all work clearly and in order, and circle your final answers. Justify your answers algebraically whenever possible.
1.
(3 points) Find all possible value of h and k so
1
In each case compute the error as the Euclidian norm | A - LU|.
1. Let A be a tridiagonal matrix that is either diagonally dominant or positive definite. Write MATLAB's
function [L, U] = trilu(a, b,
Math 337 Sample Exam Instructions. This sample exam is provided as an aid for preparing for the first midterm exam. Additionally, preparation for the midterm exam should include review of lectures, qu
Math 337 Fall 2004 Midterm Examination 1 Instructions. Show your work. Calculators are not permitted. Scoring: 12 points per problem, except problem 8 which is 16 points (parts of problems are equally
M ATH
3 37 _ F INAL
E XAM
_ F ALL 2 011
Show all work a.ndjustify all steps of each argument you make.
1 ) ( 2 0p o i n t s )L e t A :
f u p 2 u s u aw i t h o r : ( 1 , 2 , 3 ) r , u 2 : ( 2 , 4 , 6
Math 337 -Midterm Exam 2-Spring 2011
1.(25 points) a) Find the LU factorisation of A = [v1 v2 v3 ], where v1 = (1, 2, 1)T , v2 =
(3, 8, 3)T , v3 = (1, 4, 4)T .
b) Use part a) to nd det(A) and detL100
M ATH 3 37-FINAL E XAM
M ay 1 2, 2 010
1 . ( 1 5p o i n t s )L e t u 1 - ( 1 , - 1 , 5 ) r , u z : ( - 4 , 2 , - 6 ) 7 , , u 3 :
(-7, 1 ,7)? b e t he c olumnso f t he m atrix . 4.
( g ,- 4 , 1 0 ) r ,
Math 337 -FINAL EXAM -December 15, 2010
Show all work and justify all steps of each argument you make.
1)(20 points) Let A = [v1 v2 v3 ] with v1 = (2, 1, 1)T , v2 = (0, 8, 2)T and
v3 = (6, 5, 1)T and
Final E xarn
A
M ath 3 37-Linear lgebra
May 1 3,2 009
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Question:
Poiuts:
a rgument Y ou m ake' P oints
Instructions: S how a li w ork a ,ndj ustify a ll s teps ol e ach
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