Problem IV Let V be a subspace of Rª spanned by three vectors given below. Find the distance from the vector y = (0, 0, 12, 0) the subspace V. 61. (1,1, 1, 1), (0,3,2,3), (-3,5, 1, 1). 71. (1,1,1,1), (2,3,0,3), (1, 1, -3,5).
Problem IV Let V be a subspace of Rª spanned by three vectors given below. Find the distance from the vector y = (0, 0, 12, 0) the subspace V. 61. (1,1, 1, 1), (0,3,2,3), (-3,5, 1, 1). 71. (1,1,1,1), (2,3,0,3), (1, 1, -3,5).
Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 54CR: Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector...
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![Problem IV Let V be a subspace of R4 spanned by three vectors given below. Find the
distance from the vector y = (0, 0, 12, 0) the subspace V.
61. (1,1,1,1), (0,3,2,3), (-3, 5, 1, 1).
62. (1,1, 1, 1), (1,0,3,0), (1, 0,5, -2).
63. (1,1,0,0), (2,0,1,1), (1, -5,2,0).
64. (1,0, 1, 1), (1, 1,2,0), (0, 1, 4, 2).
65. (1,0,1,0), (1, 1, 1,-1), (1,2,3,0).
66. (1,0,0,1), (0, 1, 1,-2), (1,-1,3,3).
67. (1,1,-1, 1), (2,3,0,3), (1, 1, 3, 5).
68. (1,0,0,-1), (2,1,1,0), (1,0, 2, 5).
69. (1,0, 1,0), (1,-1, 1, -1), (1,0,3, -2).
70. (1,1,1,-1), (1,3,0,0), (1,5, 0, 2).
71. (1,1,1,1), (2, 3,0, 3), (1, 1, -3, 5).
72. (1, 1, 1, 1), (1,3,0,0), (1,5, 0, -2).
73. (1,0,0,1), (2,1,1,0), (1,0,2,-5).
74. (1,1,1,0), (1, 0, 2, 1), (0, 2, 4, 1).
75. (1,0,1,0), (1,-1,1,1), (1,0,3, 2).
76. (1,0,1,0), (0, 1, -2, 1), (1,-1,3,3).
77. (1,1,1,-1), (2,3,3,0), (1,1,5, 3).
78. (1,0,-1,0), (2,1,0,1), (1,0,5, 2).
79. (1,0,0,1), (1,-1,-1, 1), (1, 0, -2, 3).
80. (1,1,-1,1), (1,3,0,0), (1,5, -2,0).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F47d370c3-9e4b-442d-9a89-d591c5ced338%2F0ce5319d-84ca-48d9-bb51-73e2057aab58%2Fql16me_processed.png&w=3840&q=75)
Transcribed Image Text:Problem IV Let V be a subspace of R4 spanned by three vectors given below. Find the
distance from the vector y = (0, 0, 12, 0) the subspace V.
61. (1,1,1,1), (0,3,2,3), (-3, 5, 1, 1).
62. (1,1, 1, 1), (1,0,3,0), (1, 0,5, -2).
63. (1,1,0,0), (2,0,1,1), (1, -5,2,0).
64. (1,0, 1, 1), (1, 1,2,0), (0, 1, 4, 2).
65. (1,0,1,0), (1, 1, 1,-1), (1,2,3,0).
66. (1,0,0,1), (0, 1, 1,-2), (1,-1,3,3).
67. (1,1,-1, 1), (2,3,0,3), (1, 1, 3, 5).
68. (1,0,0,-1), (2,1,1,0), (1,0, 2, 5).
69. (1,0, 1,0), (1,-1, 1, -1), (1,0,3, -2).
70. (1,1,1,-1), (1,3,0,0), (1,5, 0, 2).
71. (1,1,1,1), (2, 3,0, 3), (1, 1, -3, 5).
72. (1, 1, 1, 1), (1,3,0,0), (1,5, 0, -2).
73. (1,0,0,1), (2,1,1,0), (1,0,2,-5).
74. (1,1,1,0), (1, 0, 2, 1), (0, 2, 4, 1).
75. (1,0,1,0), (1,-1,1,1), (1,0,3, 2).
76. (1,0,1,0), (0, 1, -2, 1), (1,-1,3,3).
77. (1,1,1,-1), (2,3,3,0), (1,1,5, 3).
78. (1,0,-1,0), (2,1,0,1), (1,0,5, 2).
79. (1,0,0,1), (1,-1,-1, 1), (1, 0, -2, 3).
80. (1,1,-1,1), (1,3,0,0), (1,5, -2,0).
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