Question: Question 2 (9 points) Suppose S 2 {V1, . . ., vn} C R is a collection of n vectors and rref(A 5) has a

Question 2 (9 points) Suppose S 2 {V1, . . ., vn} C R\" is a collection of n vectors and rref(A 5) has a zero row, where A5 : [v1 | ... | vn]. Also suppose E,...E1AS = rref(A5) where E1, . . .,E, are elementary matrices. (a). (3 points) In terms of these elementary matrices, write down a vector that does not lie in span(S) Justify this using your membership test from last worksheet. (b). (6 points) Use this strategy to construct a vector that does not lie in span(S) where 1 S: 3, 2 HAGNH

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

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!

4 This assignment, based on the content of Unit 4 of the Study Guide, is worth 3% of your grade. We recommend that you hand it in after you complete Unit 4. You must show all of your work in order to...

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...

Problem 1. (1 point) Let 6 8 12 $1- 6 ,V2 20 ,V3 21 2 ~12 7 Is the set {V1, v2, V3} linearly independent? 0 A. Yes 0 B. No If the vectors are linearly dependent, nd coefficients, not all zero, that...

Math 21 Winter 2017 Professor Bruce Cooperstein Final Review/Practice Examination You will need to know the definitions of the following in order to do the questions on the examination. You will not...

1. (10 points) True/False questions. No justification necessary. (a) True False The matrix 010 0 01 10 0 0 0 010 0 0 0 01 0 0 0 0 0 is in reduced row-echelon form. (b) True False If A is a 2 x 3...

8.1 WRITE on paper for upvote. Section: 25, 32, 33 please 8.1 General Linear Transformations 20. Consider the basis S = {V1, V2} for R', where v, = (-2, 1) and 9. T : Rx - R., where V2 = (1, 3), and...

Chapter Thirteen A FUNDAMENTAL TOOL: VECTORS Contents 13.1 Displacement Vectors . . . . . . . . . . . . 686 Notation and Terminology . . . . . . 686 Addition and Subtraction of Displacement Vectors ....

Convex geometry 0.1 Dehn-Sommerville relations In this section we will talk about convex polytopes. One possible denition of a convex polytope uses the notion of a half-space: A closed half-space in...

Linear Algebra Final answer only please Section 3.2 Subspaces: Problem 1 (1 point) ATTEMPT NOT ACCEPTED - Please submit answers again (or request new version if necessary). Determine which of the...

Can you please help me with number 12 and number 15. I have provided the math chapter it came from and the answer from the back of the book: Thank you so much and Best wishes! 5.7 Matrix Exponentials...

Using the following table and the equations underlying each of the four basic financial statements, show (a) That the balance sheet is in balance, (b) That net income is properly calculated, (c) What...

The contract for a $4000 loan at 9% compounded quarterly requires two payments. The first payment of $2000 is required two years after the date of the loan. (It is applied to the balance owed after...

Fig. 1C.10 shows an aluminium block of dimensions 2.0 cm x 3.0 cm x 4.0 cm on an electronic balance. (a) Use the information in Fig 1C.10 to work out the density of aluminium in g/cm. (b) Express the...

GIVE ONE EXAMPLE about some of the issues which are foremost on your mind when it comes to earned pay for your work contributions