(a)(b)(c)Let W be the subpace of M2x2 (R)3cW = { [ 20+ b 30+ df] =akedER}: a, b, c,-dFind a basis for W. You do not need to prove that it is a basis.W is isomorphic to Rn for some n. Put the value of this n in this box:Prove that W is isomorphic to R", where n is your value from part (b).

Answered: (a) (b) (c) Let W be the subpace of…

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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(a) (b) (c) Let W be the subpace of M2x2 (R) b W = { [20 + $ 30+d]:akedER} a, b, c, Find a basis for W. You do not need to prove that it is a basis. W is isomorphic to Rn for some n. Put the value of this n in this box: Prove that W is isomorphic to R", where n is your value from part (b).