3) Is {1 - 22 +23, 3+2x+6r%, 3+4x3, x+222 +23} linearly independent or linearly dependent?
Is {1 – 22 +r3,3+2x+623, 3+4x3, x+222 +23} linearly independent or linearly dependent?
a) they are linearly independent b)they are linearly dependent c)neither linearly dependent nor linearly independent d)functions cannot be determined in real space x e) none of them (10,00 Puanlar) 2 14,(x) = [1 - Cos(2x)]. uz(x) = Sin?(x) fonksiyonlarının lincer bağımlı yada lineer bağımsız olup olmadıklarını inceleyiniz? a uneer olarak bagimsizdirlar by Lineer olarak bagimlidirlar. Ne lineer bagimline de lineer bagimsizdirlar d Fonksiyonlar, x-reel uzayında belirlenemezdirler c) Hiçbiri Once 2/ Soncalo > Kaput Swim
(a). Determine whether the set is linearly dependent or independent. Further, if it is linearly dependent, express one of the polynomials as a linear combination of others. (b). Determine whether the set can be considered as a basis of the vector space P2, which is the set of all polynomials of degree not more than 2 under addition and scalar multiplication. (1). B = {1 – 2,1 – 22, x – x2} (Hint: Similar to the matrix case in last...
1. Determine whether or not the four vectors listed above are linearly independent or linearly dependent. If they are linearly dependent, determine a non-trivial linear relation - (a non-trivial relation is three numbers which are not all three zero.) Otherwise, if the vectors are linearly independent, enter 0's for the coefficients, since that relationship always holds. (1 point) 13--3-3 Let vi = and V4 1-11 Linearly Dependent 1. Determine whether or not the four vectors listed above are linearly independent...
Question 5 Is the set of functions linearly dependent or linearly independent? f(x) = 7, g(x) = 5x +1, h(x) = 3x2 - 4x + 5 Linearly dependent Linearly independent Have no clue... Question 6 Given a solution to the DE below, find a second solution by using reduction of order. r’y' – 3xy + 5y = 0; y1 = r* cos(In x) y2 = xsin(In x) y2 = x2 sin Y2 = 2 * sin(In) . . y2 =...
Determine whether the given set of vectors is linearly dependent or linearly independent. U1 = (1, 2, 3), u2 = (1, 0, 1), uz = (1, -1, 5) linear dependent linear independent
Determine whether the set S is linearly independent or linearly dependent. 2 -4 S={ 3 2 Note: you can only submit each part of this question once for marking. 2 -4 STEP 1: Determine if is a scalar multiple of 3 2 O scalar multiple O not a scalar multiple STEP 2: Determine if the set S is linearly dependent. O linearly independent linearly dependent
Solve question 20 Show that Χ'1) (1) and x(2)(1) are linearly dependent at each point in the interval 0 < t Nevertheless, show that x(1)(1) and x(2)(1) are linearly independent on 0-1 1 1 In each of Problems 16 through 25, find all eigenvalues and eigenvectors of the given matrix 3 -2 17 18. 19 3 3/4 20 21 3 -1 22. 2 2 3 21 23. 1 2 -4-1 11/9 -2/9 8/9 24.-2/9 /9 10/9 8/9 10/9 5/9 25....
1. (15 points) Prove whether the following sets are linearly dependent or independent, and determine whether they form a basis of the vector space to which they belong. s 10110 -1 ) / -1 2) / 2 1 17 ) } in M2x2(R). "11-21 )'(1 1)'( 10 )'(2 –2 )S (b) {23 – X, 2x2 +4, -2x3 + 3x2 + 2x +6} in P3(R) (the set of polynomials of degree less than 3. (c) {æ4—23+5x2–8x+6, – x4+x2–5x2 +5x-3, x4+3x2 –...