MT210 TEST 3
ILKER S. YUCE
MAY 2, 2011
SURNAME, NAME:
QUESTION 1. INTRODUCTION TO DETERMINANTS
Specify whether the matrix has an inverse without trying to compute the inverse
91999
90992
40050
90390
60070
.
1
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Guidelines and tips
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Community
Ask the community
Ask the community for help and clear up your study doubts
University Rankings
Discover the best universities in your country according to Docsity users
Free resources
Our save-the-student-ebooks!
Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors
MT210 Test 3: Linear Algebra Exercises and Questions, Exams of Linear Algebra
These are the notes of Exam of Linear Algebra which includes Initial Value Problem, General Solution, Erential Equation, Origin Parallel, Line, Vector Space, Dimension etc. Key important points are: Compute, Inverse, Positive Integer, Skew Symmetric, Determine, Values, Invertible, Properties, Assume, System
Typology: Exams
2012/2013
1 / 6
This page cannot be seen from the preview
Don't miss anything!
Related documents
Partial preview of the text
Download MT210 Test 3: Linear Algebra Exercises and Questions and more Exams Linear Algebra in PDF only on Docsity!
MT210 TEST 3
ILKER S. YUCE
MAY 2, 2011
SURNAME, NAME:
QUESTION 1. INTRODUCTION TO DETERMINANTS
Specify whether the matrix has an inverse without trying to compute the inverse
QUESTION 2. THE PROPERTIES OF DETERMINANTS
(a) An n × n matrix A is called skew-symmetric if At^ = −A. Show that if A is skew-symmetric and n is an odd positive integer, then A is not invertible.
(b) Let A =
1 1 a 1 0 a − 1 2 a 1 0 0 ( a − 1)( a^2 − 4) a 0 0 0 a
. Determine those values of^ a^ for which^ A^ is invertible.
QUESTION 4. CRAMER’S RULE, VOLUME, AND LINEAR TRANSFORMATIONS
Find all solutions to the system using Cramer’s Rule.
− 2 x 1 + x 2 − 4 x 3 = − 8 − 4 x 2 + x 3 = 3 4 x 1 − x 3 = − 8
QUESTION 5. CRAMER’S RULE, VOLUME, AND LINEAR TRANSFORMATIONS
Find the inverse of the matrix below using the inverse formula