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Please answer # 22 and 24
hapter 1 Systems of Linear Equations and Matrices *21. Suppose that A is n × m and B is m × n so that AB is n × n. Show that AB is no invertible if n> m. [Hint: Show that there is a nonzero vector x such that AB then apply Theorem 6.] and 22.) Use the methods of this section to find the inverses of the following matrices complex entries: 1- 0 a. sin θ cos θ 0 23. Show that for every real number θ the matrix | cos θ -sin θ 0 | i invertible and find its inverse. 24) Calculate the inverse of A = | 0 3 0 0 0 4
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PATI DEVAJ iven del-A 22C12 =24

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