Please answer if only 100% sure. Thank you so much
Please answer if only 100% sure. Thank you so much 2. Consider the set V =...
Im not understanding why you let t=0 and t=1 can you explain? thank you! 2. Consider the set V = span {v} = (1,0,2), v2 = (2, 1, 2)}. (a) For each choice of numbers for a and b, the set of points of the form (3,2, a) + (6-1,4), te R, is a line L in R'. In set notation: 20| L = {(3,2, a) + t(0, -1,4) € R'|teR} Find all values of a and b, if any,...
please give the correct answer with explanations, thank you Let S {V1, V2, V3, V4, Vs} be a set of five vectors in R] Let W-span) When these vectors are placed as columns into a matrix A as A-(V2 V3 r. ws). and Asrow-reduced to echelon form U. we have U - -1 1 013 001 1 state the dimension of W Number 2. State a boss B for W using the standard algorithm, using vectors with a small as...
Mark each statement as True or False and justify your answer. a) The columns of a matrix A are linearly independent, if the equation Ax = 0 has the trivial solution. b) If vi, i = 1, ...,5, are in RS and V3 = 0, then {V1, V2, V3, V4, Vs} is linearly dependent. c) If vi, i = 1, 2, 3, are in R3, and if v3 is not a linear combination of vi and v2, then {V1, V2,...
please answer the following question with detailed step 1 1. Consider vi = 2 V2 = a and v3 = -1 (a) Find the value(s) of a such that 01,02 and v3 are linearly dependent and write Vi as a linear combination of v2 and 03, if possible. (b) Suppose a = 0, write v = 2 as a linear combination of v1, V2 and 03. (c) Suppose a = 0, use the Gram-Schmidt process to transform {V1, V2, V3}...
Please explain the answer with relevant theory and steps. Thank you! In the figure the ideal batteries have emfs E1 = 5.31 V and E2 = 11.4 V, the resistances are each 1.73 12, and the potential is defined to be zero at the grounded point of the circuit. What are potentials (a)V1 and (b)V2 at the indicated points? R RA R, WE 18 R3 18, VI
Find the projection of vector on the convex linear combination? Thank You! 3 Let t = span{f}]}._ = span{{{1}+{[1]}, and let S be the set of convex linear combinations of | and [2]. For i = [!] find (a) proje V. (b) proj, v. (c) projs 7.
Hi! Please help me with question #1. Thank you so much! 1) Let F be the function from R x (-1,1) to R3 given by F(u,0)= ( (2- sin u, vsin (2+v cos vcos COS u Let (u, ) and (u2, 2) belong to the domain R x (-1, 1) of F. Prove that F(u1, U1) (u1(4k 2),-v1) for some relative integer k. Hint: In terms of the spacial coordinates a, y,z compare the quantities 2 +y2 F(u2, 2) if...
please show work. thank you 1. Consider the vectors: (a) Determine if b = 0 is a linear combination of a, a, and a bi (b) Determine the set of values of b1,b2, bg such that b2 is not a linear combination of a as, and 2. Explain why the nullspace of R the same as that of M, where R is the RREF of M.
Please show the detail, thank you! (1 point) (a) Let -4 -7 -2 -4 V1 = and V2 = 1 6 0 2 and let W = span{V1, V2}. Apply the Gram-Schmidt procedure to vi and V2 to find an orthogonal basis {uj, u2 } for W. uj = U2 = -13 2 (b) Consider the vector v = - Find V' E W such that || V – v' || is as small as possible. 15 8 V =...
Please do only e and f and show work null(AT) null(A) T col(A) row(A) Figure 5.6 The four fundamental subspaces (f) Find bases for the four fundamental subspaces of 1 1 1 6 -1 0 1 -1 2 A= -2 3 1 -2 1 4 1 6 1 3 8. Given a subspace W of R", define the orthogonal complement of W to be W vE R u v 0 for every u E W (a) Let W span(e, e2)...