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Graphing 3 planes

asked 2015-11-03 14:53:23 +0100

mellow_yellow gravatar image

updated 2015-11-03 14:55:54 +0100

Disclaimer: I'm new to linear algebra and an intermediate with Sage.

How can I graph the following planes? This example is taken from Linear Algebra and Its Applications by Strang. I've tried to follow these instructions, but I'm stuck. Thanks!

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answered 2015-11-03 15:08:44 +0100

fidbc gravatar image

Here is a possible way to do it fo the first two planes. It should be straightforward to add the third.

var('u,v,w')
plane_1=implicit_plot3d(2*u+  v+  w== 5,(u,-10,10),(v,-10,10),(w,-10,10),opacity=0.7,color='red')
plane_2=implicit_plot3d(4*u-6*v    ==-2,(u,-10,10),(v,-10,10),(w,-10,10),opacity=0.7,color='blue')

plane_1+plane_2

You may try this code over at sagecell.

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Asked: 2015-11-03 14:53:23 +0100

Seen: 328 times

Last updated: Nov 03 '15