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Please answer in detail. 1.114 In these exercises, you are given a subset W of M(m, n) for some 111 and 11. You should (i)
Please answer in detail.
1.114 In these exercises, you are given a subset W of M(m, n) for some 111 and 11. You should (i) give a nonzero matrix that belongs to W, (ii) give a matrix in M (m, 11) not in W, (iii) use the subspace properties (Theorem 1.13 on page 83) to prove that W is a subspace of M (m, n), and (iv) express W as a span. We present the solution to part (a) as an example of what is required. c. W is the set of all elements of M(2, 2) of the form where a, b, and c range over all real numbersStep by Step Solution
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