Which of the following sets are subspaces of R°? A. ((x, y, z) | x < y < z} B. ((x, y, z) | 5x – 9y = 0, 6x + 3z = 0} C. {(x, y, z) | x+ y+z = -3) D. ((3x, 2x, -8x) | x arbitrary number } E. ((x, y, z) | - 5x + 9y- 6z = 0} F. {(x, x- 5, x +9) | x arbitrary number } %3D
Which of the following sets are subspaces of R°? A. ((x, y, z) | x < y < z} B. ((x, y, z) | 5x – 9y = 0, 6x + 3z = 0} C. {(x, y, z) | x+ y+z = -3) D. ((3x, 2x, -8x) | x arbitrary number } E. ((x, y, z) | - 5x + 9y- 6z = 0} F. {(x, x- 5, x +9) | x arbitrary number } %3D
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 43EQ
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