of L. See Exercise 53. Find a basis of the image of the matrices in Exercises 27 through 33. 53. Consider a subspace V o
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of L. See Exercise 53. Find a basis of the image of the matrices in Exercises 27 through 33. 53. Consider a subspace V o
of L. See Exercise 53. Find a basis of the image of the matrices in Exercises 27 through 33. 53. Consider a subspace V of R". We define the orthogo- nal complement V of V as the set of those vectors w in R" that are perpendicular to all vectors in V; that is, . w = 0, for all u in V. Show that V is a subspace of R". 54. Consider the line L spanned by 2 in R³. Find a basis 3 27. 30. 32. 33. Го 0 0 2 5 7 23 1000 28. 0 1 0 0 0 1 1000 200 3 0 1 0 4 0 01 5 00000 0 0 1 203 0 0 0 0 1 4 0 00000 1 0 00000 29. 2 -⠀ 31. 3 5 8699 7 4 2 3 5 6
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