Let P = {(x1, X2, ..., Xn);| X1 = 0} and Q = {(x1, X2, ..., Xn | X1X2 = 0} be subsets of the vector space R". Which of the following is True? (a) P is not subspace of R" and Q is subspace of R" (b) Both P and Q are subspace of R" (c) P is subspacc of R" and Q is not subspace of R" (d) Neither P nor Q is a subspace of R" %3|

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let P =.{(x1, X2, ..., Xn) |x1 = 0} and Q = {(x1, X2, ..., Xn | X1X2 = 0} be subsets of the
vector space R". Which of the following is True?
(a) P is not subspace of R" and Q is subspace of R"
(b) Both P and Q are subspace of R"
(c) P is subspacc of R" and Q is not subspace of R"
(d) Neither P nor Q is a subspace of R"
Transcribed Image Text:Let P =.{(x1, X2, ..., Xn) |x1 = 0} and Q = {(x1, X2, ..., Xn | X1X2 = 0} be subsets of the vector space R". Which of the following is True? (a) P is not subspace of R" and Q is subspace of R" (b) Both P and Q are subspace of R" (c) P is subspacc of R" and Q is not subspace of R" (d) Neither P nor Q is a subspace of R"
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