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**Unformatted text preview: **B satises 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 u-v k ? (b) and what are the smallest and largest values of h u,v i ? 5. Exercise 2.1, Chapter 2 of Trefethen-Bau. [A diagonal matrix is a matrix whose o-diagonal elements ( i 6 = j ) are zero.] 1...

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