For:A=1; B = 8; C=3; D = 1; E = 3; F = 0. Answer:Consider in M,x2 (R) the subsets U and W, where U is defined by[(C+1)t + (D + 1)s -(C+1)t|(D+1)s+ (C + 1)tER},U =; s,t e!(D+1)s2 -D2 - D]E2 - E]and W is the subspace generated by the matricesFFF(a) Calculate a dimension of W(b) show that U is the vector subspace of M,x,(R) and determine a basis for U(c) The equality Max2 (R) = U + W occurs? justify

The given values: A=1; B=8; C=3; D=1; E=3; F=0 The Subset U is defined by, Substitute C and D value…

For: A=1; B = 8; C=3; D = 1; E = 3; F = 0. Answer: Consider in M,v, (R) the subsets U and W, where U is defined by S[(C+1)t + (D + 1)s -(C+1)t] : 8, s,t € R}. U = (D+1)s+(C + 1)t (D+1)s 2 – E] F 2 - D 2 – D E and W is the subspace generated by the matrices 4 F 4 F (a) Calculate a dimension of W (b) show that U is the vector subspace of M,xa (R) and determine a basis for U (c) The equality M2x2(R) = U + W occurs? justify

For: A=1; B = 8; C=3; D = 1; E = 3; F = 0. Answer: Consider in M,v, (R) the subsets U and W, where U is defined by S[(C+1)t + (D + 1)s -(C+1)t] : 8, s,t € R}. U = (D+1)s+(C + 1)t (D+1)s 2 – E] F 2 - D 2 – D E and W is the subspace generated by the matrices 4 F 4 F (a) Calculate a dimension of W (b) show that U is the vector subspace of M,xa (R) and determine a basis for U (c) The equality M2x2(R) = U + W occurs? justify

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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