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  3. please show all steps for both true and false thanks...

Question: please show all steps for both true and false thanks...

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Determine if each of the statements below is True or False If its True, explain why. If its False explain why not, or simply give an example demonstrating why its false. A correct choice of True or False with no explanation will not receive any credit. 31 For any n x n matrix A, f A3 0, then A 0. (Here, 0 is the n x n zero matrix.) 3.2 If A-[ al a2 аз ], where ai s the j-th column of A, and if b is a linear combination of a and as, then Ax b has a solution. 3.3 If A and B are skew-symmetric, then A-2BỊ is also skew-symmetric. rom the Chapter 2.1 Textbook Exercises: a matrix M is called skew-symmetric if M--M.) For terminology, see page 53 of the textbookPlease show all steps for both true and false. Thanks so much

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