# SOLUTION: 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=b is consistent. A=[1 2] b=[4] [2 4] [8] also

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 Click here to see ALL problems on Linear Algebra Question 56646This question is from textbook Linear Algebra with Applications : 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=b is consistent. A=[1 2] b=[4] [2 4] [8] also A=[1 1 2] b=[1] [1 1 2] [2] [1 1 2] [3]This question is from textbook Linear Algebra with Applications Answer by venugopalramana(3286)   (Show Source): You can put this solution on YOUR website!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=b is consistent. A=[1 2] b=[4] [2 4] [8] CHECK THE RATIOS OF ELEMENTS IN THE 2 ROWS UNDER RESPECTIVE COLUMNS ARE EQUAL OR NOT...WE HAVE 1/2,2/4,4/8....ALL ARE EQUAL TO 1/2 .SO THE SYSTEM AX=B IS CONSISTENT also A=[1 1 2] b=[1] [1 1 2] [2] [1 1 2] [3] WE HAVE 1/1,1/1,2/2,1/2....THEY ARE NOT ALL EQUAL. 1/1,1/2,2/2,1/3....THEY ARE NOT ALL EQUAL. HENCE THE SYSTEM AX=B IS INCONSISTENT