I got a question today, that was a bit strange, it was this:(adsbygoogle = window.adsbygoogle || []).push({});

For what value(s) of p do the following equations have solutions?

[tex] 4x + y + 5z = 12 [/tex]

[tex] 3x + 2y + 5z = p [/tex]

[tex] 8x + 5y + 13z = 0 [/tex]

I said that it doesn't matter what value p is, there are never any solutions (regardless of what p is), since the matrix of the three equations is singular, was I right in thinking that? I also said that the equations give three planes which all intersect, but not at a unique solution, so they form a prism.

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# Question about equations and a matrix

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