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Math Help - range space and null space

  1. #1
    Senior Member Sambit's Avatar
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    Question range space and null space

    Let,  \ T = <br />
\[\begin{bmatrix}<br />
1 & 3 & -7 \\<br />
2 & -1 & 0 \\<br />
3 & -1 & -1\\<br />
4 & -3 & -2<br />
\end{bmatrix}<br />
\]

    determine a basis for the (a) range space of  T and (b) null space of  T
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  2. #2
    MHF Contributor
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    This is a subject of Linear Algebra.
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  3. #3
    Senior Member Sambit's Avatar
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    ok. so how can i move it to there?
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  4. #4
    MHF Contributor

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    You can't. Perhaps one of the moderators will do it.

    In any case, you are expected to show what you have tried. What is the definition of "range" and "null space" of a matrix?
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  5. #5
    Senior Member Sambit's Avatar
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    Null space of the matrix  T is the collection of  Xs where  TX = O

    and range of  T is the collection of all possible linear combinations of the column vectors of  T
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