Problem 5. (1 point) Let H be the subset of vectors [x. y] in R2 such that the polint (x, y) les ...

Question

Question

Problem 5. (1 point) Let H be the subset of vectors [x. y] in R2 such that the polint (x, y) les between the lines y -3x and

math algebra

Answer 1

Answer #1

(4,3) C-2,2) どで3-y マ H is nonemp is not clssed unater audition 2 1-3 3-1 -·tt is nof Closed undur addition. (x,y]ヒサ. Lit Let

Answer 2

Similar Homework Help Questions

1 point) Let V R2 and let H be the subset of V of all points...

1 point) Let V R2 and let H be the subset of V of all points on the line-4x-3y-0. Is H a subspace of the vector space V? 1. Does H contain the zero vector of V? | H does not contain the zero vector of V | 2. Is H closed under addition? If it is, enter CLOSED. If it is not, enter two vectors in H whose sum is not in H, using a comma separated list and...
1 point) Let H be the set of all points in the fourth quadrant in the plane V R2. That is, H- t(x...

1 point) Let H be the set of all points in the fourth quadrant in the plane V R2. That is, H- t(x, y) |z 2 0,y S 0. Is H a subspace of the vector space V? 1. Does H contain the zero vector of V? H contains the zero vector of V 2. Is H closed under addition? If it is, enter CLOSED. If it is not, enter two vectors in H whose sum is not in H,...
(1 point) A square matrix A is idempotent if A2 = A. Let V be the...

(1 point) A square matrix A is idempotent if A2 = A. Let V be the vector space of all 2 x 2 matrices with real entries. Let H be the set of all 2 x 2 idempotent matrices with real entries. Is H a subspace of the vector space V? 1. Does H contain the zero vector of V? choose 2. Is H closed under addition? If it is, enter CLOSED. If it is not, enter two matrices in...

(1 point) The trace of a square n x n matrix A = (aii) is the...

(1 point) The trace of a square n x n matrix A = (aii) is the sum ani + 022 + ... + ann of the entries on its main diagonal. Let V be the vector space of all 2 x 2 matrices with real entries. Let H be the set of all 2 x 2 matrices with real entries that have trace 1. Is Ha subspace of the vector space V? 1. Does H contain the zero vector of...
Let H = Let H= 1 33x2+59'51) 5y 51), which represents the set of points on...

Let H = Let H= 1 33x2+59'51) 5y 51), which represents the set of points on and inside an ellipse in the xy-plane. Find two specific examples scalar to show that H is not a subspace of R2. H is not a subspace of R2 because the two vectors 3 1 show that H is not closed under addition. (Use a comma to separate vectors as needed.) H is not a subspace of R2 because the scalar 4 and the...
Question 3 T Let S be the set of vectors in R2 which satisfy the property...

Question 3 T Let S be the set of vectors in R2 which satisfy the property ry > 0. Y Is S a subspace of R2? O Sis a subspace of R2 O Sis not a subspace of R2 because S does not contain the zero vector. S is not a subspace of R2 because S is not closed under vector addition. O Sis not a subspace of R2 because S is not closed under scalar multiplication.

3. (12 pt) Suppose that S is the subset of R2 that contains all vectors on...

3. (12 pt) Suppose that S is the subset of R2 that contains all vectors on the two lines y = x and y = -2 s={[x] € R: y=x or y = -x} ER2: y = r or y=- (a) In each of the following parts (i)-(iii), either show the statements is true or give a counterexample to show that the statement is false. Clearly state TRUE or FALSE. Graphs of y = x and y = -1 may...
(1 point) Consider the function f(x, y) = 4x+ + 8y. List all critical points of...

(1 point) Consider the function f(x, y) = 4x+ + 8y. List all critical points of f(x, y). If there are none, enter "none". If there is more than one, enter a comma-separated list of ordered pairs, e.g., "(1,2), (3,4). (5,6)" Critical points are List all critical points of f(x,y) which are local maxima. If there are none, enter "none". If there is more than one, enter a comma-separated list of ordered pairs, e... "(1,2), (3,4), (5,6) Local maxima occur...
Previous Problem Problem List Next Problem (1 point) Let P2 be the vector space of all...

Previous Problem Problem List Next Problem (1 point) Let P2 be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 10x2 - 9x - 4, 12x2 - 10x 5 and 31x - 38x2 16. a. The dimension of the subspace H is 1 b. Is (10x2-9x-4,12x2- 10x - 5,31x -38x2+ 16) a basis for P2? choose Be sure you can explain and justify your answer. c. A basis for the...

Let f(x,y) -2(xy 1) be a scalar function in R2. a) Find the vector field F(x, y) for which f(x, y...

Please describe the contour map and list important aspects of it, thanks! Let f(x,y) -2(xy 1) be a scalar function in R2. a) Find the vector field F(x, y) for which f(x, y) is a potential function, b) c) sketch a contour map of f (x, y) and, on the same figure, sketch F(x,y) (on R2). Comment on any important aspects of your sketch. Let f(x,y) -2(xy 1) be a scalar function in R2. a) Find the vector field F(x,...