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2. Given that u., and ware three solutions of the linear system Az = b. Verify that the vector cu+du+ (1-c-d)w is also a solu

1. Let A and B be two nx matrices. Suppose that AB is invertible. Show that the system Az = 0 has only the trivial solution.

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2. Given that uile and w are three solutions of Axzb. So, Au=6, Auzb and Aw=6 Now, Afeur die zutdv +Cl-e-d)w} = A.eu + Adve +

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