Let S be the subspace of R4 given by the solution set of the equations -x3 + 4 x4 = -x2 - x3 + x4 and -x1 - x3 = -x1 - 3 x3 = x2 An example of a matrix for which S is the nullspace is.... i tried doing 1 1 0 0 0 1 0 3
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Originally Posted by ah-bee Let S be the subspace of R4 given by the solution set of the equations -x3 + 4 x4 = -x2 - x3 + x4 and -x1 - x3 = -x1 - 3 x3 = x2 An example of a matrix for which S is the nullspace is.... i tried doing 1 1 0 0 0 1 0 3 .... (1) .... (2) .... (3) Substitute from (1) and (2): . So elements of S have the form . So the example you propose works.
the problem is.. when i enter my solution into the web page (online assignment), it says that it is wrong. any ideas why?
Originally Posted by ah-bee the problem is.. when i enter my solution into the web page (online assignment), it says that it is wrong. any ideas why? 1. Perhaps a 4x4 matrix is wanted ....? In which case the question should be more specific on the dimension required. 2. Have you correctly copied the system of equations?
1. I gave a 2x4 matrix in a similar practice question and got it right + there are no specific matrix dimensions required. 2. Yeah, I've copied the equations down correctly.
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