2. (a) Let S= A 0 I B A, B & GL (R), B = B, A = (B n ¸ Check whether or not S SP2n(R). Also give an example of a 6 x 6 matrix which is in SPċ(R) ✓ SLÅ(R).
2. (a) Let S= A 0 I B A, B & GL (R), B = B, A = (B n ¸ Check whether or not S SP2n(R). Also give an example of a 6 x 6 matrix which is in SPċ(R) ✓ SLÅ(R).
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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Transcribed Image Text:2. (a) Let
S =
A I
B
A, B & GL (R), Bt = B, A = (B−¹;
Check whether or not S ≤ SP2n(R). Also
give an example of a 6 × 6 matrix which is
in SP6(R) n SL(R).
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