(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that the range of the linear operator defined by the equations is not all of R^{3}, and find a vector that is not in the range

2. Relevant equations

w1 = x - 2y + z

w2 = 5x - y + 3z

w3 = 4x + y + 2z

3. The attempt at a solution

can I just show that it does not have an inverse and it's a singular matrix to say it's equivalent to the range is not all or R^{3}?

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# Homework Help: Show that the range of the linear operator is not all of R^3

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