Hi, how should i solve this?thanks suppose A is a 3x5 matrix,and that Ax=b is a consistent system of equations for all b is an element of R^3. Explain....what is the dimension of Col(A) and Null(A)?
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You need the "dimension theorem" for Linear Algebra: If A is an n by n matrix, col(A)+ null(A)= n. Now, what does "consistent system" mean when A if "3 X 5"?
Originally Posted by HallsofIvy You need the "dimension theorem" for Linear Algebra: If A is an n by n matrix, col(A)+ null(A)= n. Now, what does "consistent system" mean when A if "3 X 5"? could you offer more guidance please..running short of time..thanks
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