Consider the permutation matrix P[i,j]er dxd with 1≤i

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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dxd
Consider the permutation matrix P[i,j]ER with 1<i<j≤d. For which integers KEN do we have
P[i,j]K=I, where I denotes the identity matrix?
a. This is always true for k=1.
b. Whether this is true for k=1 depends on the choice of i and j.
c. This is false for k=1.
d.
e.
O f.
This is always true for k=2.
Whether this is true for k=2 depends on the choice of i and j.
This is false for k=2.
g.
This is always true for k=3.
Oh. Whether this is true for k=3 depends on the choice of i and j.
Oi. This is false for k=3.
Transcribed Image Text:dxd Consider the permutation matrix P[i,j]ER with 1<i<j≤d. For which integers KEN do we have P[i,j]K=I, where I denotes the identity matrix? a. This is always true for k=1. b. Whether this is true for k=1 depends on the choice of i and j. c. This is false for k=1. d. e. O f. This is always true for k=2. Whether this is true for k=2 depends on the choice of i and j. This is false for k=2. g. This is always true for k=3. Oh. Whether this is true for k=3 depends on the choice of i and j. Oi. This is false for k=3.
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