(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).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section: Chapter Questions
Problem 20RQ
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(a)
(b)
(c)
Let W be the subpace of M2x2 (R)
3c
W = { [ 20+ b 30+ df] =akedER}
: a, b, c,
-d
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).
Transcribed Image Text:(a) (b) (c) Let W be the subpace of M2x2 (R) 3c W = { [ 20+ b 30+ df] =akedER} : a, b, c, -d 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).
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