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 0 1 3 10-2 2-3 0 {( 1 ) · ( 2 )·()} {(° 130 is a linearly independent subset of R2×3 (c) Show that {e-1, 2-4, sin(xx)} 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
Section4.6: Applications And The Perron-frobenius Theorem
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Part c please
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
0
1 3
10-2
2-3
1 0
{( 1 ) · ( 2 ) · (3)}
{(°
130
is a linearly independent subset of R2×3
(c) Show that
{e-1,2-4, sin(xx)}
is a linearly independent subset of the space V of functions from R to R.
Transcribed Image Text: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 0 1 3 10-2 2-3 1 0 {( 1 ) · ( 2 ) · (3)} {(° 130 is a linearly independent subset of R2×3 (c) Show that {e-1,2-4, sin(xx)} is a linearly independent subset of the space V of functions from R to R.
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