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(a) Show that if A, B,C are matrices such that A has an inverse and such that A- B = A · C then B = C (b) The situation is different if A does not have an inverse: Consider 2 -2 Show that A has no inverse and find two matrices B and C with A - B = A · C but with B + C.

(a) Show that if A, B,C are matrices such that A has an inverse and such that A- B = A · C then B = C (b) The situation is different if A does not have an inverse: Consider 2 -2 Show that A has no inverse and find two matrices B and C with A - B = A · C but with B + C.

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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(a) Show that if A, B,C are matrices such that A has an inverse and such that A- B = A · C then B = C (b) The situation is different if A does not have an inverse: Consider 2 -2 Show that A has no inverse and find two matrices B and C with A - B = A · C but with B + C.
Transcribed Image Text:(a) Show that if A, B,C are matrices such that A has an inverse and such that A- B = A · C then B = C (b) The situation is different if A does not have an inverse: Consider 2 -2 Show that A has no inverse and find two matrices B and C with A - B = A · C but with B + C.
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