- #1
Miike012
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I don't remember exactly how the question on my test was phrased but I believe it was phrased
"Let A be an mxn matrix where m>n. Explain why in general there is not a solution to the equation Ax = b where b is a vector in Rm"
This question was confusing to me because to me the meaning of the question is saying
For all matrices A with dimension mxn, m>n, There does not exist a solution x such that b = Ax, where b is a vector in Rm.
Which is obviously a false statement because I can easily produce a mxn (m>n) matrix A and a solution x such that
Ax = b, b is a vector in Rm.
This is what I would like to know. I don't want to know what you think it means. Based on how it is worded I want to know what the statement is saying. (I hope that makes sense what I'm asking for)
"Let A be an mxn matrix where m>n. Explain why in general there is not a solution to the equation Ax = b where b is a vector in Rm"
This question was confusing to me because to me the meaning of the question is saying
For all matrices A with dimension mxn, m>n, There does not exist a solution x such that b = Ax, where b is a vector in Rm.
Which is obviously a false statement because I can easily produce a mxn (m>n) matrix A and a solution x such that
Ax = b, b is a vector in Rm.
This is what I would like to know. I don't want to know what you think it means. Based on how it is worded I want to know what the statement is saying. (I hope that makes sense what I'm asking for)
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