Unformatted text preview: B satisﬁes B 2 = 0, then it cannot be invertible. 4. If u and v are two vectors such that k u k = 3 and k v k = 5, (a) what are the smallest and largest values of k uv k ? (b) and what are the smallest and largest values of h u,v i ? 5. Exercise 2.1, Chapter 2 of TrefethenBau. [A diagonal matrix is a matrix whose oﬀdiagonal elements ( i 6 = j ) are zero.] 1...
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 Fall '09
 Linear Algebra, Matrices, Invertible matrix

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