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Unformatted text preview: 2. Consider the following two matrices: E = 8 214 0 9 2 4 , F = 3 1 1 1 3 31 1 1 1 1 32 22 2 . Use ljx.m to ﬁnd the inverse of each matrix, if it exists. If the matrix is singular, show the linear dependence between the rows. 3. Do Exercise 246. (The data for this problem can be loaded using load ex246 .) 4. Do Exercise 235 by hand. 5. Do Exercise 248. (Make up a small matrix A with the required properties in each case, and explain why it has those properties, and also give examples of b where necessary.) 6. Prove that the product AB of two square matrices is nonsingular if and only if both A and B are nonsingular. Remember, that if and only if means you have to prove this both ways: if AB is invertible then show A and B must both be invertible. If A and B are invertible, how AB is invertible. 2...
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 Fall '11
 Recth
 Linear Algebra, Invertible matrix, annotated diary ﬁle

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