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Let A, B and C be invertible, nxn matrices with AB BA and I, the n x n identity matrix. If AXB-= I+ AC, then whieh of the following are true. (1) X = A-(I+ AC)B. (11) X (A-+C)B. (III) X BA-1+CB.

Let A, B and C be invertible, nxn matrices with AB BA and I, the n x n identity matrix. If AXB-= I+ AC, then whieh of the following are true. (1) X = A-(I+ AC)B. (11) X (A-+C)B. (III) X BA-1+CB.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let A, B and C be invertible,nxn matricos with AB BA and I, the n xn identity matrix. If AXB-1 I + AC, then which of the following are true. (I) X = A-(I+ AC)B. (II) X = (A-+ C)B. %3D (III) X = BA-1+CB. O A. Only (II) and (I) O B. Only (1) and (III) O. Only (1) and (II) O D. None of the above E. (1), (II) and (III)
Transcribed Image Text:Let A, B and C be invertible,nxn matricos with AB BA and I, the n xn identity matrix. If AXB-1 I + AC, then which of the following are true. (I) X = A-(I+ AC)B. (II) X = (A-+ C)B. %3D (III) X = BA-1+CB. O A. Only (II) and (I) O B. Only (1) and (III) O. Only (1) and (II) O D. None of the above E. (1), (II) and (III)
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