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location Sweden
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visits member for 1 year, 10 months
seen Aug 23 at 7:00

Currently enjoying learning the language of mathematics!


Jul
2
awarded  Curious
Jul
2
awarded  Inquisitive
Jun
20
accepted Visualise $3x^2 - 2xy - 10x +3y^2 -2y + 8=0$ after the $x,y$ term has been eliminated (using rotation)
Jun
19
comment Visualise $3x^2 - 2xy - 10x +3y^2 -2y + 8=0$ after the $x,y$ term has been eliminated (using rotation)
Thank you Will for your comment. In the Question it said "Find a suitable rotation that eliminates the mixed term in: $3x^2 - 2xy - 10x +3y^2 -2y + 8$ and use the result to sketch $3x^2 - 2xy - 10x +3y^2 -2y + 8=0$." I don't see how the rotation helped me to find the answer they were looking for? What do you think?
Jun
19
revised Visualise $3x^2 - 2xy - 10x +3y^2 -2y + 8=0$ after the $x,y$ term has been eliminated (using rotation)
added 104 characters in body
Jun
19
comment Visualise $3x^2 - 2xy - 10x +3y^2 -2y + 8=0$ after the $x,y$ term has been eliminated (using rotation)
Thank you for your comment, please see my updated question regarding the final result of the question. Can you please give me some hints to how to get to the final result?
Jun
19
revised Visualise $3x^2 - 2xy - 10x +3y^2 -2y + 8=0$ after the $x,y$ term has been eliminated (using rotation)
added 172 characters in body
Jun
19
revised Visualise $3x^2 - 2xy - 10x +3y^2 -2y + 8=0$ after the $x,y$ term has been eliminated (using rotation)
added 1047 characters in body
Jun
19
comment Visualise $3x^2 - 2xy - 10x +3y^2 -2y + 8=0$ after the $x,y$ term has been eliminated (using rotation)
Hi! I have updated my questions with my calculations, please have a look and see if you can please finish the final steps.
Jun
19
revised Visualise $3x^2 - 2xy - 10x +3y^2 -2y + 8=0$ after the $x,y$ term has been eliminated (using rotation)
added 1047 characters in body
Jun
19
asked Visualise $3x^2 - 2xy - 10x +3y^2 -2y + 8=0$ after the $x,y$ term has been eliminated (using rotation)
Jun
19
accepted Find a suitable rotation that eliminates the mixed term in the equation: $3x^2 - 2xy - 10x +3y^2 -2y + 8=0$
Jun
19
comment Find a suitable rotation that eliminates the mixed term in the equation: $3x^2 - 2xy - 10x +3y^2 -2y + 8=0$
Thank you very much for your answer! Explained my questions well!
Jun
19
asked Find a suitable rotation that eliminates the mixed term in the equation: $3x^2 - 2xy - 10x +3y^2 -2y + 8=0$
Jun
19
accepted Linear transformation with the matrix $A$ (mirroring in a plane). Show that $AA = E$.
Jun
18
comment Linear transformation with the matrix $A$ (mirroring in a plane). Show that $AA = E$.
Thank you for your answer! I will look into this. much appreciated!
Jun
18
asked Linear transformation with the matrix $A$ (mirroring in a plane). Show that $AA = E$.
Jun
7
comment Linear map from zero vector to zero vector.
Thank you for your answer! Makes sense!
Jun
7
accepted Linear map from zero vector to zero vector.
Jun
7
comment Linear map from zero vector to zero vector.
@Rahul Ok I'll try :). So if $\vec{u} = \vec{0}$ then $G_1(\vec{u}) = (1,0,0)$. This gives us $0 \cdot (1,0,0) = (0 \cdot 1, 0, 0) = (0,0,0) = \vec{0}$?