Question: Linear Algebra ============== In problem 1, find the reduced row echelon form for A and B first; then answer problem 2 and 3. Reduce these

Linear Algebra

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In problem 1, find the reduced row echelon form for A and B first; then answer problem 2 and 3. Reduce these matrices to their ordinary echelon forms U: 2 2 4 a N 4 2 (a) A = 2 9 (b ) B = 4 O :0 2 8 8 Which are the free variables and which are the pivot variables? 2 For the matrices in Problem 1, find a special solution for each free variable. (Set the free variable to 1. Set the other free variables to zero.) 3 By combining the special solutions in Problem 2, describe every solution to Ax = 0 and Bx = 0. The nullspace contains only x = 0 when there are no (a) A = 6 10 ( b ) B = 6 6 For the same A and B, find the special solutions to Ax =0 and Bx =0. For an m by n matrix, the number of pivot variables plus the number of free variables is

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