Which of the following is a basis for the subspace {:) X y z x = y+z and x, y,z €RC M2x3(R) ? 0 x 0 1 1 10 1 (a) B1 0 1 0 0 0 0 {::) (::} {(:::):} {(:::) :)} 1 10 101 (b) B2 (010) 0 10 110 (c) B3 = 10 1 0 1 0 10 -1 10) 1 1 0 (d) B4 0 1 0 0 1 0 1 -1 0 0 1 -1 (e) B5 0 1 0 0 0 0

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Which of the following is a basis for the subspace
{(:
{:
x y z
W =
x = y+z and x, y,z €RC M2x3(R) ?
0 x 0
1 1 1
10 1
(a) B1
0 0 0
010
1 1 0
10 1
(b) B2 =
0 1 0
010
(::)
{::):}
{::):}
010
1
(c) B3 =
101
0 10
1 0
-1
1 1 0
(d) B4
0 1
0 1 0
1
-1 0
0 1 -1
(e) B5
0 0
Transcribed Image Text:Which of the following is a basis for the subspace {(: {: x y z W = x = y+z and x, y,z €RC M2x3(R) ? 0 x 0 1 1 1 10 1 (a) B1 0 0 0 010 1 1 0 10 1 (b) B2 = 0 1 0 010 (::) {::):} {::):} 010 1 (c) B3 = 101 0 10 1 0 -1 1 1 0 (d) B4 0 1 0 1 0 1 -1 0 0 1 -1 (e) B5 0 0
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