Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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a
Consider the vector space W
{
: a + d = 0} of 2 × 2 matrices having trace
c d
3
zero. Also let v =
4 -3
(2a) Find two different ordered bases S and T for W.
(2b) Determine [v]s and [v]r.
(2c) Determine Ps-r and Qr-s and verify [v]s = Ps-r[v]T_and [v]r = Qr-s[v]s•
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Transcribed Image Text:a Consider the vector space W { : a + d = 0} of 2 × 2 matrices having trace c d 3 zero. Also let v = 4 -3 (2a) Find two different ordered bases S and T for W. (2b) Determine [v]s and [v]r. (2c) Determine Ps-r and Qr-s and verify [v]s = Ps-r[v]T_and [v]r = Qr-s[v]s•
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