linear algebra 2 part mcq
part a
part b
linear algebra 2 part mcq part a part b H Let be the set of third...
linear algebra 2 parts mcq part a part b Solve the system 5 = ;3x - ܕܠ ܐ2 + X1 13 = 3xa - ܕ2xn + X -X+ X2 ܂3 1 xto tec b. Xt tec SE N 51 0 d. XS ܢܬ ܝ ܝ SEC e X=S <. [ f. x=s H Let be the set of third degree polynomials H = {ax + ax? + ax | AEC} Is H a subspace of ? Why or why not?...
Let H be the set of third degree polynomials H = {ax + ax2 + ax aEC} Is H a subspace of P3? Why or why not? Select all correct answer choices (there may be more than one). 0 a. H is a subspace of P3 because it contains only second degree polynomials 1b. H is a subspace of P3 because it can be written as the span of a subset of P3 OcH is not a subspace of P3...
Let H be the set of third degree polynomials H = {ax + ax? + ax? | aEC} is H a subspace of P3? Why or why not? Select all correct answer choices (there may be more than one). a. H is a subspace of P3 because it contains the zero vector of P3 b.H is a subspace of P3 because it is closed under vector addition and scalar multiplication c. H is a subspace of P3 because it can...
Let H be the set of third degree polynomials H = {ax + ax? + ax? | aEC} Is H a subspace of P3? Why or why not? Select all correct answer choices (there may be more than one). a. H is a subspace of P3 because it contains the zero vector of P3 b. H is a subspace of P3 because it is closed under vector addition and scalar multiplication Oc H is a subspace of P3 because it...
Let H be the set of third degree polynomials Let H be the set of third degree polynomials {ax + ax? + ax3 | DEC} Is H a subspace of P3? Why or why not? Select all correct answer choices (there may be more than one). a. H is not a subspace of P3 because it is not closed under scalar multiplication b.H is a subspace of P3 because it contains the zero vector of P3 c. H is not...
Let H be the set of third degree polynomials H = {ax + ax? + ax3 | DEC} Is H a subspace of P3? Why or why not? Select all correct answer choices (there may be more than one). a. A is a subspace of P3 because it contains the zero vector of P3 | b. H is not a subspace of P3 because it does not contain the zero vector of P3 c. H is not a subspace of...
Let be the set of third degree polynomials Is a subspace of ? Why or why not? Select all correct answer choices (there may be more than one). a. is not a subspace of because it is not closed under vector addition b. is a subspace of because it contains the zero vector of c. is not a subspace of because it is not closed under scalar multiplication d. is a subspace of because it contains only second degree polynomials e. is...
linear algebra do both drawing in part A and B 2. Consider the set and let addition and scalar multiplication be the standard operations on vectors in R2 (a) State a specific numerical example that shows that V is not closed under vector addition, then draw a sketch for your example, shading the region V, and drawing your example vectors and their linear combination with the parallelogram method that shows V is not closed under vector addition (b) Provide a...
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...
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,...