(e) For each of the consistent systems in parts (a)-(d), determine which have in

Question

(e) For each of the consistent systems in parts (a)-(d), determine which have infinitely many solutions. Enter your answer as a list of letters (lower case) separated by commas, e.g., b,c,d.

For each of the following choices of A and b, determine if b is in the column space of A and state whether the system Ax = bis consistent.in column space of A? yes no Ax = b is consistent? A b b A Ax = b A = [2 3 1 4], b = [4 6] b in column space of A? yes no Ax = bs consistent? yes no A Ax = b is consistent? yes no A = [1 1 1 1 1 1 2 2 2], b = [1 2 3] b in column space of A yes no Ax = b is consistent? yes no A = [1 2 1 2 4 2], b = [5 10 5] b in column space of A yes no Ax = b is consistent? yes no A = [0 1 0 1 0 1], b = [2 5 2] b in column space of A? yes no Ax = b is consistent? yes no For each of the consistent systems in parts (a)-(d), determine which have infinitely many solutions. Enter your answer as a list of letters (lower case) separated by commas, e.g., b,c,d.

Explanation / Answer

a) yes yes

b) no no

c) yes yes

d) yes yes

e) c

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