(b) Let 2a1 2a12 2a13 |a11 a12 a13 A = a21 a2 a23 and B a31 a32 a33 a11+a21 a12+a22 a13+a23 a32 a33 (1) If det(A) = Esgn(o)a,q(1)a2a(2)a3¤(3), determine det(B) in terms of det(A). (ii) If det(A) = 6, compute det(B).
(b) Let 2a1 2a12 2a13 |a11 a12 a13 A = a21 a2 a23 and B a31 a32 a33 a11+a21 a12+a22 a13+a23 a32 a33 (1) If det(A) = Esgn(o)a,q(1)a2a(2)a3¤(3), determine det(B) in terms of det(A). (ii) If det(A) = 6, compute det(B).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 7AEXP
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