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Mathematics, 17.07.2019 19:20 winwinphyo
4. (5 points) nonhomogeneous matrix equations consider the following nonhomogeneous matrix equation, where a is a square matrix ax = b. and its associated homogeneous version when a is invertible both of these equations will have a unique solution. when a is not invertible, equation (1) will have either no solution or infinitely many solutions, whereas equation (2) will necessarily have infinitely many solutions because the trivial solution, x = 0 is a solution and thus it is impossible to have no solution. suppose a is not invertible, but x, is a solution to (1), and the set b-(x, xo) is a basis for the solution space of (2). then is the general solution to (1) for any scalars c and c because
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4. (5 points) nonhomogeneous matrix equations consider the following nonhomogeneous matrix equation,...
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