Which of the following sets are subspaces of R? OA. {(-2, y, z) | y, z arbitrary numbers } B. {(x, y, z) | x + y+z = -5} OC. {(x, y, z) | 2x – 6y = 0, 9x + 5z = 0}

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Which of the following sets are subspaces of R?
O A. {(-2, y, z) | y, z arbitrary numbers }
) B. {(x, Y, z) | x + y + z = –5}
OC. {(x, Y, z) | 2x – 6y = 0, 9x + 5z = 0}
OD. {(5x + 4y, 8x + 7y, – 3x – 7y) | x, y arbitrary numbers }
) E. {(x, y, z) | x, y, z > 0}
F {(x, Y, z) | – 2x + 6y – 9z = 0}
Transcribed Image Text:Which of the following sets are subspaces of R? O A. {(-2, y, z) | y, z arbitrary numbers } ) B. {(x, Y, z) | x + y + z = –5} OC. {(x, Y, z) | 2x – 6y = 0, 9x + 5z = 0} OD. {(5x + 4y, 8x + 7y, – 3x – 7y) | x, y arbitrary numbers } ) E. {(x, y, z) | x, y, z > 0} F {(x, Y, z) | – 2x + 6y – 9z = 0}
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