Let 2a13 2a12 and B= |a|1+a21 a]2+a22 a13+a23 a12 a13 2a|| A= a21 а22 а23 аз1 аз2 азз| a31 a32 a33 If det(A) = £sgn(o)a1q(1)a2a(2)d30(3), determine det(B) in terms of det(A). (ii) If det(A) = 6, compute det(B). (i)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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question i) 

Let
a11 a12 aj13
2a11
2a12
2a13
a11+a21 a12+a22 a13+a23
a32
A = a21
and B
а22
a23
аз1 аз2 аз3
a31
аз
(i)
If det(A) = Esgn(o)a1g(1)a20(2)ª30(3), determine det(B) in terms of det(A).
(ii)
If det(A) = 6, compute det(B).
Transcribed Image Text:Let a11 a12 aj13 2a11 2a12 2a13 a11+a21 a12+a22 a13+a23 a32 A = a21 and B а22 a23 аз1 аз2 аз3 a31 аз (i) If det(A) = Esgn(o)a1g(1)a20(2)ª30(3), determine det(B) in terms of det(A). (ii) If det(A) = 6, compute det(B).
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