Homework Answers
Any confusion then comment below.
Add Answer to:
Determine whether each of the subsets below are subspaces of R3. (a) The line through (2,-5,...
1. Determine whether each of the subsets below are subspaces of R3. (a) The line through...
1. Determine whether each of the subsets below are subspaces of R3. (a) The line through (2,-5,3) and the origin. (b) The plane parallel to the x, y plane two units above the origin.
I. Determine whether each of the subsets below are subspaces of R. (a) The line through...
I. Determine whether each of the subsets below are subspaces of R. (a) The line through (2,-5,3) and the origin. (b) The plane parallel to the z, y plane two units above the origin.
I. Determine whether each of the subsets below are subspaces of R. (a) The line through (2,-5,3) and the origin. (b) The plane parallel to the z, y plane two units above the origin.
I. Determine whether each of the subsets below are subspaces of R. (a) The line through...
I. Determine whether each of the subsets below are subspaces of R. (a) The line through (2,-5,3) and the origin. (b) The plane parallel to the z, y plane two units above the origin.
2. Let Wi-((a, b, c) : a-c-b), W2-((a, b, c) : ab>0), W3-((z, y,z) : r2+92+22£1} be subsets of R3 (a) Determine which of these subsets is a subspace of R3. Justify your answer. (b) For the subsets...
2. Let Wi-((a, b, c) : a-c-b), W2-((a, b, c) : ab>0), W3-((z, y,z) : r2+92+22£1} be subsets of R3 (a) Determine which of these subsets is a subspace of R3. Justify your answer. (b) For the subsets which are subspaces, find a basis and the dimension for each of them
2. Let Wi-((a, b, c) : a-c-b), W2-((a, b, c) : ab>0), W3-((z, y,z) : r2+92+22£1} be subsets of R3 (a) Determine which of these subsets is a subspace...
10. Det ermine whether the following subsets W are subspaces of the given vect or spaces:...
10. Det ermine whether the following subsets W are subspaces of the given vect or spaces: (a) The set of 2 2 matrices given by W. A є M2.2 : A- as a subset of V M2,2 (b) The set of all 3 x 3 upper triangular matrices as a subset of V-M33- (c) The subset of vect ors in R3 of the for (2+x3, r2, r3). (d) The subset of vect ors in R2 of the form (ri,0) (e)...
QUESTION 2. (a) Decide whether each of the following subsets of R’ is a subspace. Either...
QUESTION 2. (a) Decide whether each of the following subsets of R’ is a subspace. Either provide a proof showing the set is a subspace of R3, or provide a counterexample showing it is not a subspace: [9 marks] (i) S= {(x, y, z) ER3 : 4.0 + 9y + 8z = 0} (ii) S = {(x, y, z) E R3 : xy = 0} (b) Determine for which values of b ER, the set S = {(x, y, z)...
Name: Math 23 6. (14 points) Determine whether the following subsets are subspaces of the given...
Name: Math 23 6. (14 points) Determine whether the following subsets are subspaces of the given veeto r space. Either prove that the set is a subspace or prove that it is not (a) The subset T C Ps of polynomials of degree less than or equal to 3 that are of the form p(x)-1+iz+o2+caz3, where c,02, c3 are scalars in R. (b) The set s-a a,bERM22, that is, the subset of all 2 x 2 matrices A where a11-a22...
21. Show that if l is any line through the origin in R3 and x is...
21. Show that if l is any line through the origin in R3 and x is any vector with its initial point at the origin, then the reflection of x through the line & (acting as a mirror) is equal to 2(proj,x) - x, where r is any nonzero vector parallel to the line (see Figure 1.21). Reflection of x FIGURE 1.21
linear algebra 2. Which of the following subsets of Rare actually subspaces? Justify your answer in...
linear algebra
2. Which of the following subsets of Rare actually subspaces? Justify your answer in terms of the definition and properties of subspaces. (a) The vectors [x y z]" with x + 2y -z = 0. (b) The vectors [a b c]" with a + b + c = 3. (c) The vectors [a+2bb-3b]' where a, b are any real numbers, (d) The vectors [pr] where q.r are any real numbers and p20.
Question 1 2 pts Describe the span of {(1,0,0),(0,0,1)} in R3 The x-z plane R3 R2...
Question 1 2 pts Describe the span of {(1,0,0),(0,0,1)} in R3 The x-z plane R3 R2 The x-y plane Question 2 2 pts Describe the span of {(1,1,1),(-1,-1, -1), (2,2, 2)} in R3 A plane passing through the origin Aline passing through the origin R3 A plane not passing through the origin A line not passing through the origin Question 3 2 pts Let u and v be vectors in R™ Then U-v=v.u True False Question 4 2 pts Ifu.v...
1. Determine whether each of the subsets below are subspaces of R3. (a) The line through (2,-5,3) and the origin. (b) The plane parallel to the x, y plane two units above the origin.
I. Determine whether each of the subsets below are subspaces of R. (a) The line through (2,-5,3) and the origin. (b) The plane parallel to the z, y plane two units above the origin.
I. Determine whether each of the subsets below are subspaces of R. (a) The line through (2,-5,3) and the origin. (b) The plane parallel to the z, y plane two units above the origin.
I. Determine whether each of the subsets below are subspaces of R. (a) The line through (2,-5,3) and the origin. (b) The plane parallel to the z, y plane two units above the origin.
2. Let Wi-((a, b, c) : a-c-b), W2-((a, b, c) : ab>0), W3-((z, y,z) : r2+92+22£1} be subsets of R3 (a) Determine which of these subsets is a subspace of R3. Justify your answer. (b) For the subsets which are subspaces, find a basis and the dimension for each of them
2. Let Wi-((a, b, c) : a-c-b), W2-((a, b, c) : ab>0), W3-((z, y,z) : r2+92+22£1} be subsets of R3 (a) Determine which of these subsets is a subspace...
10. Det ermine whether the following subsets W are subspaces of the given vect or spaces: (a) The set of 2 2 matrices given by W. A є M2.2 : A- as a subset of V M2,2 (b) The set of all 3 x 3 upper triangular matrices as a subset of V-M33- (c) The subset of vect ors in R3 of the for (2+x3, r2, r3). (d) The subset of vect ors in R2 of the form (ri,0) (e)...
QUESTION 2. (a) Decide whether each of the following subsets of R’ is a subspace. Either provide a proof showing the set is a subspace of R3, or provide a counterexample showing it is not a subspace: [9 marks] (i) S= {(x, y, z) ER3 : 4.0 + 9y + 8z = 0} (ii) S = {(x, y, z) E R3 : xy = 0} (b) Determine for which values of b ER, the set S = {(x, y, z)...
Name: Math 23 6. (14 points) Determine whether the following subsets are subspaces of the given veeto r space. Either prove that the set is a subspace or prove that it is not (a) The subset T C Ps of polynomials of degree less than or equal to 3 that are of the form p(x)-1+iz+o2+caz3, where c,02, c3 are scalars in R. (b) The set s-a a,bERM22, that is, the subset of all 2 x 2 matrices A where a11-a22...
21. Show that if l is any line through the origin in R3 and x is any vector with its initial point at the origin, then the reflection of x through the line & (acting as a mirror) is equal to 2(proj,x) - x, where r is any nonzero vector parallel to the line (see Figure 1.21). Reflection of x FIGURE 1.21
linear algebra
2. Which of the following subsets of Rare actually subspaces? Justify your answer in terms of the definition and properties of subspaces. (a) The vectors [x y z]" with x + 2y -z = 0. (b) The vectors [a b c]" with a + b + c = 3. (c) The vectors [a+2bb-3b]' where a, b are any real numbers, (d) The vectors [pr] where q.r are any real numbers and p20.
Question 1 2 pts Describe the span of {(1,0,0),(0,0,1)} in R3 The x-z plane R3 R2 The x-y plane Question 2 2 pts Describe the span of {(1,1,1),(-1,-1, -1), (2,2, 2)} in R3 A plane passing through the origin Aline passing through the origin R3 A plane not passing through the origin A line not passing through the origin Question 3 2 pts Let u and v be vectors in R™ Then U-v=v.u True False Question 4 2 pts Ifu.v...
Most questions answered within 3 hours.
-
Quick question, I want to know how to convert decimal numbers to
binary number, when i...
asked 19 minutes ago -
You found out that now you are going to receive payments of
$8,500 for the next...
asked 23 minutes ago -
17.
Technician A says that leaking components are usually repaired
rather than replaced. Technician B says...
asked 23 minutes ago -
A) An Operon is:?
1- A gene that affect another gene
transcription.
2. A gene coding...
asked 30 minutes ago -
When opening a file, use this method to determine whether a file
exists before you attempt...
asked 34 minutes ago -
Sales total $300,000 when variable costs total $180,000 and
fixed costs are $60,000. Breakeven sales total:...
asked 41 minutes ago -
1)
To calculate the depth of a water well, an explorer drops a stone and with...
asked 38 minutes ago -
0.429-g sample of gas occupies 125 mL at 60. cm of Hg and 25°C.
The molar...
asked 40 minutes ago -
The
pH of a 0.90M solution of boric acid (H3BO3) is measured to be
4.64.
Calculate...
asked 1 hour ago -
on april 10, a company acquired land valued at $58,000 in
exchange for 1,000 shares of...
asked 1 hour ago -
Is
ampicillin or solvents (such as acetone) more effective at killing
off bacteria, in general? Explain...
asked 1 hour ago -
The current risk-free rate is 4.0% and the market risk premium
is 5.0%. If Ford Motor...
asked 1 hour ago