Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question

Find the basis for W. What is it dimensions?

Let { x11 I12 Xij E R X 22 M2 X21 be the vector space of 2 x 2 real matrices with entrywise addition and scalar multiplication. Consider the subspace W = {X € M2 : X = X"} of M2 consisting of symmetric matrices.
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Transcribed Image Text:Let { x11 I12 Xij E R X 22 M2 X21 be the vector space of 2 x 2 real matrices with entrywise addition and scalar multiplication. Consider the subspace W = {X € M2 : X = X"} of M2 consisting of symmetric matrices.
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