Question: Halfway through Example SSP4, we need to show that the system of equations is consistent for every choice of the vector of constants satisfying 16a
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is consistent for every choice of the vector of constants satisfying 16a + 8b + 4c + 2d + e = 0.
Express the column space of the coeffocient matrix of this system as a null space, using Theorem FS. From this use Theorem CSCS to establish that the system is always consistent. Notice that this approach removes from Example SSP4 the need to row-reduce a symbolic matrix.
0 0 0 1][a 0 018 b LS 0 16 24 e 1 -4 1232 d 4-8 16 Le
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Theorem FS provides the matrix and so if A denotes ... View full answer
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