1 Haxtion()subspace W = Span {x₁, x₂) of R³. Let y =Let x₁ =Select one:O aO b.OcO d.-13/38ŷ projw (y) = -22/19-55/38ŷ-projw (y) =and x₂=ŷ = projw (y) =4/45ŷ projw (y) = -17/45=-4/9Select one:O aOc○b. J(Y) =O d.J(Y₂) =-1/2-1-3/2Ponsider thConsider the following nonlinear system of differential equationsat (x, y) = (1, 0) (which could also be written as a column vector Y₁ =J(Y) =J(Y₂)=3/19-3/191/19Note that x, and x₂ are orthogonal and therefore form an orthogonal basis for the(1³)0(²)3-53(1³)03-5-5What is the orthogonal projection projw (y) of y onto W?N&HE-z + 3y-5yThis system has an equilibrium pointWhich matrix is the Jacobian matrix J(Y)? ionionCet A=(-0.2 -0.3-0.20.3using the matrix exponential e^ and equals p' (Y₁) = e^Y₁ = (eThe eigenvalues of eª end up equaling e 0.210.30.782163 ± 0.241951.By what angle, to the nearest tenth of a degree, does the linear transformation p¹: R² → R² rotate pointscounterclockwise around the origin?Select one:O a. 017.2°O b. 072.8°Oc. 0≈ 33.7O d. 0≈ 56.3°Checkso that the eigenvalues of A are -0.2 ± 0.3i, where 2-1. The time-1 flow map is definede-0.2 cos(0.3) -e-02 sin(0.3)e-02 YoOnce you have entered code for NDSolve and stored it in a variable, perhaps called "Solution", or something similar, whatMathematica "operator" (a symbol that "does something") allows you to access the "data" stored in this variable for variouspurposes (such as graphing approximate solutions of differential equations).Select one:O a. || ("double pipe")O b. /. ("slash dot")O c. //("slash slash")O d. & ("ampersand")

There are 4 different question and you are not mentioning which question I have to solve I will…

Answered: JA Let ₁ Select one: 0 a Ob (-)- Oc…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 41CR: Let B={(0,2,2),(1,0,2)} be a basis for a subspace of R3, and consider x=(1,4,2), a vector in the...

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