Mathematics, 05.08.2019 19:20 hdjehd
Find the dimension of the subspace of all vectors in set of real numbers r superscript 4 whose first and third entries are equal.
Answers: 3
![\left[\begin{array}{cccc}a_{1}&a_{2}&a_{3}&a_{4}\end{array}\right]](/tpl/images/0171/7582/f1c87.png)
![\left[\begin{array}{cccc}a_{1}&a_{2}&a_{3}&a_{4}\end{array}\right]\\\\R_{1}\rightarrow R_{1}-R_{3} \\\\\text{or}\\\\R_{3}\rightarrow R_{3}-R_{1}\\\\\left[\begin{array}{cccc}0&a_{2}&a_{3}&a_{4}\end{array}\right]\text{or}\left[\begin{array}{cccc}a_{1}&a_{2}&0&a_{4}\end{array}\right]](/tpl/images/0171/7582/1c78a.png)
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Find the dimension of the subspace of all vectors in set of real numbers r superscript 4 whose first...
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