Question: 12. Find the solution vectors u and v such that the solution space is the set of all linear combinations of the form su

12. Find the solution vectors u and v such that the solution

12. Find the solution vectors u and v such that the solution space is the set of all linear combinations of the form su + tv. X1 -4 x2 +X3 - 20 x4 = 0 X, +2 x2 +X3 + 10 x4 - 0 X1 + X2 +X3 + 10 x4 = 0 The solution vectors are u= and v = such that x= su +tv, x3=s and x4=t, where s and t are real numbers.

Step by Step Solution

★★★★★

3.40 Rating (150 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To find the solution vectors mathbfu and mathbfv such that the solution space is the set of all line... 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

Students Have Also Explored These Related Mathematics Questions!

Find two perpendicular vectors u and v such that each is also perpendicular to w = (-4, 2, 5).

Show that there are no vectors u and v such that u = 1, v = 2, and u v = 3.

In each case find invertible U and V such that where r = rank A (a) (b) (c) (d) UAV=1 0 0 0 1-1 2-2 4 21 2 1-1 21 A=12-I 03 0 1-41 110- A=1 3 2 1 1 1013

Math 636 Final - Quiz Component 1. The system of linear equations 2x2 x3 = 3 2x1 + x2 + 2x3 = 1 x1 + x2 + 3x3 = 2 (a) is consistent with a unique solution. (b) is consistent with infinitely many...

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...

Let i and j be positive integers. (i) Prove that there exist natural numbers a and b such that ai = bj+gcd(i, j). You may use standard results provided that you state them clearly. [4 marks] (ii) Let...

QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...

3 Use the Big M method and the two-phase method to nd the optimal solution to the following LP: max z 5x1 x2 s.t. 2x1 x2 6 s.t. x1 x2 4 s.t. x1 2x2 5 x1, x2 0 4 Use the simplex algorithm to nd the...

Industrial Engineering 335 Operations Research - Optimization Spring 2017 Homework 2 1 Directions: Due: Monday February 13, 2017, beginning of class. Motivate all your answers. The deadline is hard....

I ONLY NEED HELP WITH QUESTION C. DO NOT COPY PASTE ANSWER. I WILL THUMBS DOWN. DO NOT COPY PASTE ANSWER. I WILL THUMBS DOWN. A linear programming computer package is needed. Western Family...

21. Read the phonetically transcribed sentences below and write them out in ordinary spelling. These transcriptions represent the pronunciation of a particular speaker on a particular occasion and...

The North American Free Trade Agreement (NAFTA) was an agreement among the United States, Canada, and Mexico that was in effect between 1994 and 2020. During this time, the number of manufacturing...

Businesses like Earth Angel and Bubbly Dynamics described in the "Adapting to Change" box reuse, redistribute, refurbish or recycle products instead of adding them to landfills. This circular economy...

3-7. The box of a dump truck pivots at A and has a force of 850 lb applied by a hydraulic cylinder as shown in Figure P3-7. Determine the moment about A due to this force. 63 850 lb 30 A FIGURE P3-7

One of Lauren's responsibilities as the director of graduate enrollment was to make the first night of class in the MBA program, known as Base Camp, a welcoming and impressive event. She assembled...

An electronics store kept records of sales of tablets for the previous month. Those buying a tablet had the option of buying an additional warranty for their item. It was also recorded whether the...

Interest expense would be classified on a multiple-step income statement under the heading O Other revenues and gains. O Cost of goods sold. O Other expenses and losses. O Operating expenses. Save...

Fill in each blank so that the resulting statement is true. 83 + 103 = ______ .

One airplane leaves an airport at noon flying north at 300 miles per hour. Another leaves the same airport one hour later and flies east at 400 miles per hour. (a) What are the positions of the...

In problems, plot a slop field for each differential equation. Use the method of separation fo variables or an integrating factor to find a particular solution of different equation that satisfies...

Show that (2, - 1), (5, 3) and (11, 11) are on the same line.

Take a sheet of paper and make three columns. In each column, describe a conflict in which you thought the other person should change, you were able to change the conditions (or social environment)...

Take a sheet of paper and make three columns on it. Label the columns instrumental goal, relationship goal, and identity goal. In each column, describe a conflict you experienced or observed with...

In the following case study, how might you use the ideas in this chapter to produce a creative and more insightful resolution to the conflict? My husband and I went out for an early dinner at a nice...