3. Is each of the following is a subspace of R4? If yes, find a basis A. The set of all (x1, z2, s, z4) that satisf...
Find a basis of the subspace of R4 that consists of all vectors perpendicular to both Problem 11. (12 points) Find a basis of the subspace of R4 that consists of all vectors perpendicular to both Basis: 111 To enter a basis into WebWork, place the entries of each vector inside of brackets, and enter a list of these vectors, separated by commas. For instance, if your basis is was to me, you are » {]J (1) mar yavros en...
Problem 4 Let W a subspace of R4 with a set of basis: 1 [01 [2] 0 11 lo lo] Li Find and orthonormal basis for W! Problem 4 Let W a subspace of R4 with a set of basis: 1 [01 [2] 0 11 lo lo] Li Find and orthonormal basis for W!
Use the Gram-Schmidt process to find an or- thonormal basis for the subspace of R4 spanned by Xi = (4, 2, 2, 1)", X2 (2,0, 0, 2)", X3 = (1,1, -1, 1). Let A = (x1 X2 X3) and b = (1, 2, 3,1)7. Factor A into a product QR, where Q has an orthonormal set of column vectors and R is up- per triangular. Solve the least squares problem Ax = b.
Problem #7: Find a basis for the subspace of R4 consisting of all vectors of the form (a, b, c, d) where c = a + 2b and Problem #7: Select $ Just Save Submit Problem #7 for Grading Problem #7| Attempt #1 Your Answer: Attempt#2 | Attempt#3 Your Mark:
0/1 points Previous Answers LARLINALG8 4.6.020. Find a basis for the subspace of R4 spanned by S. S = {(2,5, -3, -3), (-2, -3, 2, -4), (1, 3, -2, 3), (-1, -5, 3, 4)}
X1 (1 point) Find a basis for the subspace of R3 consisting of all vectors | x2 | such that-3x1 + 5x2 +6x-0. Hint: Notice that this single equation counts as a system of linear equations; find and describe the solutions. Answer
Find a basis for the subspace of R3R3 consisting of all vectors [x1 x2 x3] such that 8x1+5x2−2x3=08x1+5x2−2x3=0. Hint: Notice that this single equation counts as a system of linear equations; find and describe the solutions.
2. In each of the following find out if the subset S is a subspace of the vector space V. (a) V = R3, S = {x = (x1,T2, xs) : 2x1-3x2 +23 = 6). 一 山 (c) V = R2, S = {x = (xi, X2) : X1X2 > 0}
Question 11: 0 5 3 0 2 The set Sa contains a basis for R4. Find a basis for R4 -3 -1 12 -3 9 2. 5 consisting of vectors from S.
Question 2: (4 marks) Given set S is a subspace of P2, find a basis for S. s={pep, : [ Px)dx – 2p (2) = 0