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the second picture is part of the first question and the third
picture is a second...
(7) Let V be a finite-dimensional vector space over F, and PE C(V) In this question, we will show that P is an orthogonal projection if and only if P2P and PP It may be helpful to recal that P is the...
(7) Let V be a finite-dimensional vector space over F, and PE C(V) In this question, we will show that P is an orthogonal projection if and only if P2P and PP It may be helpful to recal that P is the orthogonal projection onto a subspace U if and only if (1) P is a projection, and (2) ran(P)-U and null(P)U (a) Prove that if P is an orthogonal projection, then P2P and P is self-adjoint Hint: To show...
Will rate once all is completed. 1) 2) 3) 4) (12 points) Find a basis of...
Will rate once all is completed.
1)
2)
3)
4)
(12 points) Find a basis of the subspace of R that consists of all vectors perpendicular to both El- 1 1 0 and 7 Basis: , then you would enter [1,2,3],[1,1,1] into the answer To enter a basis into WeBWork, place the entries. each vector inside of brackets, and enter a list these vectors, separated by commas. For instance if vour basis is 31 2 and u (12 points) Let...
the second picture is part of the first question there is 3 questions all multiple choice...
the second picture is part of the first question there is 3
questions all multiple choice
Find the general solution to the system : ix+y=3 ix - y = 2 MINIO II 10.- 11 1 2 -- 2 ex Il -- 1 2 N - N1 . Use polar form to calculate (-1 + 3iy9 O 64 512 0-64 -512 1+ 3i Express in standard form. 3+i 10 3 3 4. O 1 + i O il Unit 01
Number 40 and 46 please; PD of squares of the four sides of a parallel- ogram...
Number 40 and 46 please;
PD of squares of the four sides of a parallel- ogram is the sum of squares of its diago- nals ) 6 In each of the following cases, find all the eigenvalues and associated eigenvectors of A. Diagonalize A, if possible. [-4 5 6]. Find the projection of v onto u. If we denote this projection by w, verify that v -w is orthogonal to u. Ilustrate this by drawing a picture. -1 2-3 (a)...
Exercises2 1. Project the first vector orthogonally into the line spanned by the second vector. 1...
Exercises2 1. Project the first vector orthogonally into the line spanned by the second vector. 1. 2. 3.01D,2 4 12 1. Project the vector orthogonally into the line. -3 1 .1 ICER) -3 1.1 1IcER) ), the line y = 3x 2. -1 1. Show that the definition of orthogonal projection into a line does not depend on the spanning vector: if s is a nonzero multiple of qthen V SS equals G-U .
Exercises2 1. Project the first vector...
this is a better picture of the question sorry for the first picture 15, FOI Valuatien...
this is a better picture of the question sorry for the first
picture
15, FOI Valuatien 3 pc is considering the following cash flows for country K that sequires an initial invest of ES tiinge arthin CO00 Year 2 1200 tear 1 Year 3000 800 al Calculate the NPV using the companies weighed eaf opl of 12 per cent-i the project worth undertaking? b A director points out that as the invetmentincountry t appropriate discount sate would be 25 reconsider...
the first picture is question A and B with the graph. the second picture is question...
the first picture is question A and B with the graph.
the second picture is question C related to the graph
PRICE STABILIZATION SCHEME: SHOW YOUR WORK! 30. Consider the market for tea in a certain country and graph it NEATLY on a separate sheet: (10 pts) Supply of Tea (thousands of tons) Demand for Tea (thousands of tons) 10 13 16 18 Price per Ton of Tea S20 S19 $18 S17 S16 SIS S14 $13 SI2 $11 S10 56...
Question 1 (10 points) Projection matrix and Normal equation: Consider the vectors v1 = (1, 2,...
Question 1 (10 points) Projection matrix and Normal equation: Consider the vectors v1 = (1, 2, 1), V2 = (2,4, 2), V3 = (0,1,0), and v4 = (3, 7,3). (a) (2 points) Obtain a basis for R3 that includes as many of these vectors as possible. (b) (4 points) Obtain the orthogonal projection matrices onto the plane V = span{v1, v3} and its perpendicular complement V+. (c) (2 points) Use this result to decompose the vector b= (-1,1,1) into a...
Find the orthogonal projection of 9e1 onto the subspace of R^4 spanned by these vectors: [2 2 1...
I let u = the first vector and v = the second vector. The vectors are orthornormal, except for the fact that they are not unitvectors. So I divided by the magnitude which is 3 for both vectors. So modified, i get 1/3u and 1/3v. I know that the formula forthis particular orthogonal projection is:This would mean that:9e1=[9 0 0 0] (in R4)and the other dot product is -6.However, in the book the answer is 2u - 2v. Why is...
(7) Let V be a finite-dimensional vector space over F, and PE C(V) In this question, we will show that P is an orthogonal projection if and only if P2P and PP It may be helpful to recal that P is the orthogonal projection onto a subspace U if and only if (1) P is a projection, and (2) ran(P)-U and null(P)U (a) Prove that if P is an orthogonal projection, then P2P and P is self-adjoint Hint: To show...
Will rate once all is completed.
1)
2)
3)
4)
(12 points) Find a basis of the subspace of R that consists of all vectors perpendicular to both El- 1 1 0 and 7 Basis: , then you would enter [1,2,3],[1,1,1] into the answer To enter a basis into WeBWork, place the entries. each vector inside of brackets, and enter a list these vectors, separated by commas. For instance if vour basis is 31 2 and u (12 points) Let...
the second picture is part of the first question there is 3
questions all multiple choice
Find the general solution to the system : ix+y=3 ix - y = 2 MINIO II 10.- 11 1 2 -- 2 ex Il -- 1 2 N - N1 . Use polar form to calculate (-1 + 3iy9 O 64 512 0-64 -512 1+ 3i Express in standard form. 3+i 10 3 3 4. O 1 + i O il Unit 01
Number 40 and 46 please;
PD of squares of the four sides of a parallel- ogram is the sum of squares of its diago- nals ) 6 In each of the following cases, find all the eigenvalues and associated eigenvectors of A. Diagonalize A, if possible. [-4 5 6]. Find the projection of v onto u. If we denote this projection by w, verify that v -w is orthogonal to u. Ilustrate this by drawing a picture. -1 2-3 (a)...
Exercises2 1. Project the first vector orthogonally into the line spanned by the second vector. 1. 2. 3.01D,2 4 12 1. Project the vector orthogonally into the line. -3 1 .1 ICER) -3 1.1 1IcER) ), the line y = 3x 2. -1 1. Show that the definition of orthogonal projection into a line does not depend on the spanning vector: if s is a nonzero multiple of qthen V SS equals G-U .
Exercises2 1. Project the first vector...
this is a better picture of the question sorry for the first
picture
15, FOI Valuatien 3 pc is considering the following cash flows for country K that sequires an initial invest of ES tiinge arthin CO00 Year 2 1200 tear 1 Year 3000 800 al Calculate the NPV using the companies weighed eaf opl of 12 per cent-i the project worth undertaking? b A director points out that as the invetmentincountry t appropriate discount sate would be 25 reconsider...
the first picture is question A and B with the graph.
the second picture is question C related to the graph
PRICE STABILIZATION SCHEME: SHOW YOUR WORK! 30. Consider the market for tea in a certain country and graph it NEATLY on a separate sheet: (10 pts) Supply of Tea (thousands of tons) Demand for Tea (thousands of tons) 10 13 16 18 Price per Ton of Tea S20 S19 $18 S17 S16 SIS S14 $13 SI2 $11 S10 56...
Question 1 (10 points) Projection matrix and Normal equation: Consider the vectors v1 = (1, 2, 1), V2 = (2,4, 2), V3 = (0,1,0), and v4 = (3, 7,3). (a) (2 points) Obtain a basis for R3 that includes as many of these vectors as possible. (b) (4 points) Obtain the orthogonal projection matrices onto the plane V = span{v1, v3} and its perpendicular complement V+. (c) (2 points) Use this result to decompose the vector b= (-1,1,1) into a...
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