Skip to Main Content
Data Analysis and Statistics for Geography, Environmental Science, and Engineering
book

Data Analysis and Statistics for Geography, Environmental Science, and Engineering

by Miguel F. Acevedo
December 2012
Beginner content levelBeginner
557 pages
19h 5m
English
CRC Press
Content preview from Data Analysis and Statistics for Geography, Environmental Science, and Engineering
319Matrices and Linear Algebra
Step 5: Row 2 is scaled by remaining nonzero off-diagonal term and subtracted from row 1 to
reduce remaining off-diagonal a
12
term to zero
10
01
15 05
05 02
..
..
The nal matrix in the right is the inverse of the matrix on the left in the rst step. Multiply them to
verify that their product is the identity matrix. We showed this procedure for pedagogical purposes;
we use computers to calculate the inverse of a large matrix.
9.6 SOLVING SYSTEMS OF LINEAR EQUATIONS
Based upon the elements of matrices expressed earlier, you can now apply that information to solv-
ing systems of equations:
41
03
8
10 30 110
xy
xy
+=
+=
(9.26)
By using the coefcients of the each of the equations as entries in a matrix, we can rewr ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Applied Modeling Techniques and Data Analysis 1

Applied Modeling Techniques and Data Analysis 1

Yannis Dimotikalis, Alex Karagrigoriou, Christina Parpoula, Christos H. Skiadas
Geospatial Data and Analysis

Geospatial Data and Analysis

Aurelia Moser, Jon Bruner, Bill Day

Publisher Resources

ISBN: 9781439885017