Consider the matrices A = en 21 p B = (b b2 92 ateo en o en 21p1755 s290 21 p1755 290392 b3) O (a) There does not exist (b, b, ba) E R³ such that A- B is skew-symmetric. 22 altge 1755 s290392 allgeo $290392 allgeo en O (b) A Bis skew-symmetric for any (b1, b2, b3) E R. D (c) A- B is skew-symmetric if and only if bị O (d) A Bis skew-symmetric if and only if (b1, b, b3) E R is not orthogonal to (1, 2, 3) ER. 0392 atigeo en 21 p1 allgeo en 21 p1755 o en 21 p1755 290 21 p1755 290392 1755 s290339 = b2 = b3 = 0. %3D %3D %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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This is not a graded question so please don't disregard it as if it is. Thank you professor
Consider the matrices
A =
en
B = (bị b2
oen 21 p1755 s290
21 p1755 290392
O (a) There does not exist (b,, b, ba) E R³ such that A-Bis skew-symmetric.
O (d) A- Bis skew-symmetric if and only if (b1, b2, b3) E R3 is not orthogonal to (1, 2, 3) E R³.
b3)
O (b) A- Bis skew-symmetric for any (b1, b2, b3) E R.
D (c) A · B is skew-symmetric if and only if bị
1755 s290392 allgeo
$290392 allgeo en
0392 aligeo en 21 p)
allgeo en 21 p1755
o en 21 p1755 290
21 p1755 290392
= b2 = b3 = 0.
%3D
%3D
%3D
1755 s290339
Transcribed Image Text:Consider the matrices A = en B = (bị b2 oen 21 p1755 s290 21 p1755 290392 O (a) There does not exist (b,, b, ba) E R³ such that A-Bis skew-symmetric. O (d) A- Bis skew-symmetric if and only if (b1, b2, b3) E R3 is not orthogonal to (1, 2, 3) E R³. b3) O (b) A- Bis skew-symmetric for any (b1, b2, b3) E R. D (c) A · B is skew-symmetric if and only if bị 1755 s290392 allgeo $290392 allgeo en 0392 aligeo en 21 p) allgeo en 21 p1755 o en 21 p1755 290 21 p1755 290392 = b2 = b3 = 0. %3D %3D %3D 1755 s290339
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