Matrices 12 • Geometric Interpretations of Systems of Equations • CP1 Ex6F • 🎯

Edexcel Core Pure Year 1

Mon 2/12/19

[redditbot]

At 13:53 I don't understand the diagram you drew, surely x+2y+z=1 is the exact same plane as 2x+4y+2z=2, and the plane -x-2y-z=1 is parallel, so the first two equations are consistent, and the last equation is inconsistent with the other two, as it is parallel and wont share any common points. Thankyou, your videos have helped me immensely :)

[chaska]

11:36, this make so much more sense after chapter 9, they have the same normal vectors which mean they must be parallel or the same plane, but they have a different constant d, which rules out they are the same plane, so are just parallel

[JamieCroll]

At 2:00 does it have to be x+2y=1 at the top or can the equations be either way round? How can I tell what equation goes at the top here?

[nathanhawey]

9:20 why the sheaf is singular when there are intersection points. Thank u bicen

[H-ho]

U can draw planes on the CG50 calculator using the 3D graph mode and see what shape they make

[bellaryanr]

Could we please get the answers for the last slide?

[andyblackett]

Hi, Absolutly love what you are doing here with these videos. I have made some more detailed slides dealing with the 5 cases of the geometric interpretations of the systems of equations. If you are interested in having them drop me an email If you didn't mind i'd also like to have the slide you have put in at 15:00 which summarises the different situations.

[JamieCroll]

At 3:10 you said because there is no inverse there is no solution to the simultaneous equation but the last example at 3:23 also has no inverse but it has infinitely many solutions. How come this is the case?

[BBK]

hi so is scenario 5 (all 3 planes are same), is that with a singular matrix?

[LeeLarner]

I am very confused so when you have eliminated a variable and have 2 equations how can you tell if the equations are consistent or inconsistent