For the given matrices, do these three things: 1) Find an invertible matrix U such that...
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For the given matrices, do these three things: 1) Find an invertible matrix U such that UA = B. 2) Check that your matrix U is correct by verifying that, in fact, UA = B 3) Express U as a product of elementary matrices. Note: The matrix U and the elementary matrices will be 3 x 3. Hint: Let your first row operation be M2(1/5), and let your second row operation be Mg (2). [2 A = 5 14 4 3 71 10 5 5 and B 3 2 1 = [1 0 L8 2 1 0 5 1 6 4 2 For the given matrices, do these three things: 1) Find an invertible matrix U such that UA = B. 2) Check that your matrix U is correct by verifying that, in fact, UA = B 3) Express U as a product of elementary matrices. Note: The matrix U and the elementary matrices will be 3 x 3. Hint: Let your first row operation be M2(1/5), and let your second row operation be Mg (2). [2 A = 5 14 4 3 71 10 5 5 and B 3 2 1 = [1 0 L8 2 1 0 5 1 6 4 2
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