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  3. 2 10 points let a aw be any 3 x...

Question: 2 10 points let a aw be any 3 x...

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2) [10 points) Let A [[aw be any 3 x 3 matrix and let E- the 5 x 5 block diagonal matrix shown below. [bil be any 2 x 2 matrix. Then let M be 011 a12 a13 00 0 0 0 b bi 0 0 0 b2 b22 a) Show that, for every such choice of A and B, det(M) solution involving the variables aj, b,) det(A) det (B). (NOTE: present a general b) Give an example of matrices A, B, M fitting the conditions above such that A is invertible but M is not invertible
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