25 lines
528 B
Markdown
25 lines
528 B
Markdown
#uw/notes #uw/class/math208
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- Possible intersections of 3 planes in 3D space
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- 1 point - one solution
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- $z=0$
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- $x=0$
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- $y=0$
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- 1 line - infinite solutions
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- $z=0$
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- $x=0$
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- $x=z$
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- 3 lines - no solutions
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- $z=0$
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$z=x+1$
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- $z=1-x$
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- one plane - infinite solutions
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- $z=0$
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- $2z=0$
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- $3z=0$
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- no intersections - no solutions
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- $z=0$
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- $z=1$
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- $z=2$
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- Adding constant multiple of one linear equation in system does not change solution set of system
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- concept behind gaussian elimination |