Let A =2 -1 1α-1 115-1223053 57where a is a scalar. Show that det(A) is independent of a.Let A, B and C be n x n matrices and let D = ABC. Prove that if D is nonsingular, then A, B andC must be nonsingular.

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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1= 2 -1 1 23 1 1 5 05 -1 2 35 a -1 where a is a scalar. Show that det (A) is independent of a. 4, B and C be n x n matrices and let D = ABC. Prove that if D is nonsingular, then A, B 1st be nonsingular.