Below, five systems of linear equations have been put in reduced row echelon for

Question

Below, five systems of linear equations have been put in reduced row echelon form. Identify how many solutions each one has, and enter that number in the blank. Enter the word 'infinite' (without the quote marks) if there are infinitely many solutions. (a) [1 0 0 4 0 0 1 0 0 0 1 0 0 -1 0 0 -5 0] (b) [1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 -2 1 -2 2 1 0] (c) [1 0 0 -4 0 0 0 1 0 5 2 0 -1 0 1] (d) [1 0 0 0 0 1 0 0 0 0 1 0 0 1 4 0 5 3 -3 0 -5 -3 -5 0 -1 -1 4 0] (d) [1 0 0 0 0 0 2 0 0 0 0 0 0 1 0 0 0 0 3 -1 0 0 0 0]

Explanation / Answer

infinite

unique (1)

no solution (0)

infinite

infinite

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