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Unformatted text preview: 2. Consider the following two matrices: E = 8 2-1-4 0 9 2 4 , F = 3 1 1 1 3 3-1 1 1 1 1 3-2 2-2 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 2-4-6. (The data for this problem can be loaded using load ex2-4-6 .) 4. Do Exercise 2-3-5 by hand. 5. Do Exercise 2-4-8. (Make up a small matrix A with the required prop-erties 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 non-singular. 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