How many solutions does each of the following systems of li
. How many solutions does each of the following systems of linear equations have? Briefly explain your reasoning.
Solution
Ans(a):
given matrix is written in reduced row echelon form.
whose last row 0 0 0 0 | 7
corresponds to equation 0=7
which is clarly FALSE
hence given system of equaiton has NO solution
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Ans(b):
given matrix is written in reduced row echelon form.
whose last row 0 0 0 0 | 0
corresponds to equation 0=0
which is clarly TRUE
hence given system of equaiton has Infinitely many solution.
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