(1 point) Let Find a basis of the subspace of R4 consisting of all vectors perpendicular...
Find a basis for the subspace of R4 consisting of all vectors of the form (a, b, c, d) where c = a + 4b and d = a − 6b. Problem #7 : Find a basis for the subspace of R4 consisting of all vectors ofthe form (a, b, c, d) where c a + 4b and d=a-6b
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 #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:
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
(a) Find an orthonormal basis for the linear subspace V of R4 generated by the vectors 1 1 1 1 2 (b) What is the projection of the vector on the linear subspace V?
(1 point) Let B be the basis of R2 consisting of the vectors and let C be the basis consisting of Find a matrix P such that c = P8 for all in R? 4/29 -19/29 P- -1/29 12/29
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.
(5 points) Let 5 -4 v= 1-3 -3 and let W the subspace of R4 spanned by ū and 7. Find a basis of W?, the orthogonal complement of W in R4.
(1 point) Let u = 1. VE L . and let W the subspace of R4 spanned by {u, v}. Find a basis for WI. Answer:
(1 point) Let B be the basis of Rconsisting of the vectors {1) []} and let C be the basis consisting of {[3) )} Find a matrix P such that @c= PE for all in Rº.