(1 point) Let ū = 5, 0 = U2 = -4 If possible, express ū as a linear combination of the vectors ū, and ū2. Otherwise, enter DNE. For example, the answer ū = 471 +5ū2 would be entered 4v1 + 5v2. w = 1v1+26/5v2
(1 point) Let 0.5 0.5 0.5 0.5 Ūi = 0.5 0.5 Ū2 = ū3 -0.5 0.5 2 2 -0.5 -0.5 0.5 -0.5 Find a vector ū4 in R4 such that the vectors ū1, 72, 73, and ū4 are orthonormal. 04
Exercise 1. Let v = 2 ER3. Recall that the transposed vector u is ū written in row form, 3 that is, of = [1 2 3]. It can be seen as a 1 x 3 matrix. For every vector R3, set f(w) = 1 WER. (i) Show that f: R3 → R defines a linear transformation. (ii) Show that f(ū) > 0. (iii) What are the vectors we R3 such that f(w) = 0?
02. Vector Arithmetic: Problem 6 Previous Problem Problem List Next Problem (1 point) The vector is a linear combination of the vectors it and only if the matrix equation Az = has a solution . where and b Note: You can ear partial credit on this problem Preview My Answers Submit Answers
Below k The HW4: Problem 8 (1 point) Let u a and v Select all of the vectors that are in the linear combnations of (u, v (Check every statement tmat ts correct) @A. The vector?4 + 7?! t, a inear combraton or(u,v) B. The vechors a inear comtbination of (u,v) C.The veclor 7 nar cominaion of (u,v) E. All vectors in R are Inear combinations of the given vectors 9. The vectra-ainear contrat onor(mv) G. We cannot tell which...
Summer Assignment 6: Problem 13 Previous Problem List Next (1 point) -4748) Let A = 1 -4243 Find an invertible matrix P and a diagonal matrix D such that PDP-1 = A. 90 Preview My Answers Submit Answers You have attempted this problem 7 times.
Problem 5. 1 point Let al-|-5 | , a,-| 24 | , and b-l 86 -10 -36 18 64 s b a linear combination of a and a2? A. Yes b is a linear combination. B. b is not a linear combination. C. We cannot tell if b is a linear combination. Either fill in the coefficients of the vector equation, or enter "NONE" if no solution is possible. a+ a2 Note: You can earn partial credit on this problem.
Previous Problem List (1 point) Let A-5 3 A basis is (v1, 2 where Next Find a basis for Nul(A). -2 0 4 Vi Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Previous Problem List (1 point) Let A-5 3 A basis is (v1, 2 where Next Find a basis for Nul(A). -2 0 4 Vi Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited...
(1 point) In this problem we consider three functions / Each of them is continuous at: -0.ie.. lim f() = f(0). In order to show by the €/ definition that this is true one has to give a definition of in terms of e such that 12-01<8 = If(x) - (0) << Match these choices of 8 1.8 - 2.8 3.8= with the functions so that that choice of establishes continuity of the function (at 1-0). You can use each...
Previous Problem Results for this submission Entered (e^x)"I((e^x)+2)*(x+1)^(-2)]*[x*(e^e)+2] -e/((ez The answer above is NOT correct. (1 point) Calculate the derivative using the appropriate rule or combination of rules. (ex + 2)(2+1) f'(x)= (-eº X (e^x+2)(X+1)) -2)*(xe°e+2). Preview My Answers Submit Answers Your score was recorded You have attempted this problem 10 times att earch