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2. Determine which of the following is a subspace of R". (a) {(x1,x2,...X) 1 x = 0} (b) {(x1, X2,...,x) I x 20} (c) {(x,X2.X)1x=2x2} (d) {(x,X2..x)1 x =1-2x} (e) {(*, X2.x,) I X=x,} %3D ....

2. Determine which of the following is a subspace of R". (a) {(x1,x2,...X) 1 x = 0} (b) {(x1, X2,...,x) I x 20} (c) {(x,X2.X)1x=2x2} (d) {(x,X2..x)1 x =1-2x} (e) {(*, X2.x,) I X=x,} %3D ....

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please answer this and show why they (a,b,c,d,e) are a subspace or not subspace
2. Determine which of the following is a subspace of R". (a) {(x1,x2,..x,) | x1=0} (b) {(x1, X2,.. , x,) | x1 2 0} (c) {(x,X2...X)1 x 2x} (d) {(x,X2..X) 1 =1-2x2} (e) {(x, X2...x) | x = X2 == X,} |3|
Transcribed Image Text:2. Determine which of the following is a subspace of R". (a) {(x1,x2,..x,) | x1=0} (b) {(x1, X2,.. , x,) | x1 2 0} (c) {(x,X2...X)1 x 2x} (d) {(x,X2..X) 1 =1-2x2} (e) {(x, X2...x) | x = X2 == X,} |3|
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