Problem IV Let V be a subspace of R' 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). 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).
Problem IV Let V be a subspace of R' 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). 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).
Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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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