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(10 points) Assume that A is a matrix with three rows. Find the matrix B such that BA gives the matrix resulting from A after the given row operations are performed. -8R3 + R2 + R2 R1 R B= (15 points) Give a 4 x 4 elementary matrix E which will carry out the row operation R3 – 3R1 + R3. Test that E actually works for carrying out this row operation by computing the product EA for the matrix 5 A 1 5 -2 4 -2 3 -24 EA = (14 points) If the linear system 6 y 72 42 -4r + 92 -37% + 26 y + hz 2 y 5 5 k has infinitely many solutions, then k= and h
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