Question: Gaussian elimination can be used to efficiently evaluate a determinant, as follows. Divide each element of row 1 of the determinant (8.20) by (11 and

Gaussian elimination can be used to efficiently evaluate a determinant, as follows. Divide each element of row 1 of the determinant (8.20) by (11 and place the factor (11 in front of the determinant (Theorem IV of Section 8.3). Then subtract the appropriate multiples of the row 1 elements from row 2, row 3, ( ( ( ( row n to make (21, (31, ( ( ( ( (n1 zero (Theorem V). Next divide the second-row elements by the current value of (22 and insert the factor (22 in front of the determinant, and so on. Ultimately, we get a determinant all of whose elements below the principal diagonal are zero. From Prob. 8.20, this determinant equals the product of its diagonal elements. Use this procedure to evaluate the determinant in Prob. 8.19b.

Step by Step Solution

★★★★★

3.49 Rating (179 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

125 1 3 80 4 1 6 6 6 1 5 2 2 2 2 1 8 0 6 2 25 6 5 05 4 6 2 15 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

959-P-M-A-M (637).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

Use Gaussian elimination with detached coefficients to solve 2x1-x2 + 4x3 + 2x4 16 3x1-x3 + 4x4 =-5 2x1x2 2x48 -4x1 + 65 + 2x3 + x4 = 3

When Gaussian elimination is programmed for a computer (or done on an electronic calculator), one should use exchanges of equations to avoid dividing by a coefficient that is much smaller in absolute...

Consider Problem 4.5 for the case where the plate is of square cross section, W = L. (a) Derive an expression for the shape factor, Smax associated with the maximum top surface temperature, such that...

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

Math 400 Assignment #3 -- Numerical Integration and Differentiation 1. For the function g x e x 2 2 Due: 6am April 09, 2016 use the centered difference formula with h 101 , 102 , , 1020 to create a...

be represented graphically as lines in a two-dimensional space or planes in a three-dimensional space. In linear algebra, we use matrices and vectors to represent and solve systems of linear...

\f\f\fChapter 2 Service Strategy Learning Objectives After completing this chapter, you should be able to: 1. Formulate a strategic service vision. 2. Describe how a service competes using the three...

Stand Alone Project all the information is attached in word format. Stand-Alone Project: Case Study in Managerial Accounting You should begin working on the Stand-Alone Project early in the course....

An element of sustainability is organic farming. Despite being far more expensive than its nonorganic counterparts, organic agriculture has gain much popularity type of alternative farming, not only...

A simply supported wide-flange beam of span length L carries a vertical concentrated load P acting through the centroid C at the midpoint of the span (see figure). The beam is attached to supports...

1 . Can all logic functions be built using OR and AND logic gates only? Explain your answer

Subsequently, Ernesto Maldonado talked with Grad about settling obligations under the lease and stated that if the construction were completed by Grad, he would attempt to find a doctor. At that...

In deep space the number density of particles can be one particle per cubic meter. Using the average temperature of 3.00 K and assuming the particle is H2 with a diameter of 0.200 nm, (a) Determine...

Show that the mean free path for the molecules of an ideal gas is

In a tank full of oxygen, how many molecular diameters d (on average) does an oxygen molecule travel (at 1.00 atm and 20.0C) before colliding with another O2 molecule? (The diameter of the O2...

Operating cash flow. Find the operating cash flow for the year for Harper Brothers, Inc it it had ales revenue of $303,700,000, cont of goods sold of $133,500,000 sales and administrative costs of...

Renkas Corp., a lamp manufacturer, provided the following information for the year ended December 31,2018 : (Click the icon to view account balances.) (Click the icon to view other information.)...

Assume that the duration of human pregnancies can be described by a Normal model with mean 265 days and standard deviation 13 days. a) What percentage of pregnancies should last between 271 and 284...