Q2. Let X = {a, b, e, d. m, n}, 7 = {6, X, {c}. {m,n}, {a,b,c, d}, {c, m, n}}. and Y = {b,c, m} CX. (a) Is Xa connected space? Why? (b) Is X a pathwise connected space? Justify your answer. %3D Q3. Let A = {(z, y), 4z² + 9y² < 36} C R Is A connected? pathwise con nected? Justify your answer.

Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 4CM: Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4,...
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Q2. Let X = {a, b, c, d, m, n}, T = {6, X, {c}. {m,n}, {a, b, c, d}, {c, m, n}}.
and Y = {b,c, m} C X.
(a) Is X a connected space? Why?
(b) Is X a pathwise connected space? Justify your answer.
Q3. Let A = {(2, y), 422 + 9y? < 36} c R
Is A connected? pathwise connected? Justify your answer.
Transcribed Image Text:Q2. Let X = {a, b, c, d, m, n}, T = {6, X, {c}. {m,n}, {a, b, c, d}, {c, m, n}}. and Y = {b,c, m} C X. (a) Is X a connected space? Why? (b) Is X a pathwise connected space? Justify your answer. Q3. Let A = {(2, y), 422 + 9y? < 36} c R Is A connected? pathwise connected? Justify your answer.
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