4. (a) Show that {(2, 0, 1, 1), (-1,2,3, 1), (1,0,2, -1)} is a linearly independent subset of R¹. (b) Show that 13 3 0 0 -2 2 {(1) (2) († ♂ })} is a linearly independent subset of R2×3 (c) Show that {e-1,2-4, sin(x)} 1 is a linearly independent subset of the space V of functions from R to R.
4. (a) Show that {(2, 0, 1, 1), (-1,2,3, 1), (1,0,2, -1)} is a linearly independent subset of R¹. (b) Show that 13 3 0 0 -2 2 {(1) (2) († ♂ })} is a linearly independent subset of R2×3 (c) Show that {e-1,2-4, sin(x)} 1 is a linearly independent subset of the space V of functions from R to R.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 20EQ
Question
Part c
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