2. Prove or disprove that the following are vector spaces 3 -7 22 (a) Let M = The set {x R3 | Mx = 0} -1 0 1 (b) Let M = (³ 3 -7 22 -1 7 22) The set {x = R³ | Mx = (*) 4 (c) The set all polynomials with even powers (d) The set F = {f: RR | f is not continuous at 0} with usual function addition and scalar multiplication
2. Prove or disprove that the following are vector spaces 3 -7 22 (a) Let M = The set {x R3 | Mx = 0} -1 0 1 (b) Let M = (³ 3 -7 22 -1 7 22) The set {x = R³ | Mx = (*) 4 (c) The set all polynomials with even powers (d) The set F = {f: RR | f is not continuous at 0} with usual function addition and scalar multiplication
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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