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Further Maths Matrices HELP

Here s the question:


( s is a 2x2 matrix)
S = ( -0.28 0.96 )
( 0.96 0.28 )
Show that the invariant points of matrix s lie on a straight line, and find the equation of this line.

I tried to solve it by placing it through a x, y matrix but I get two equations which arent equivalent .

0 = 0.96y - 1.28x
0 = 1.28y - 0.96x

What should I be doing instead?
(edited 8 months ago)
Reply 1
Original post by academicWeapon__
Here s the question:


( s is a 2x2 matrix)
S = ( -0.28 0.96 )
( 0.96 0.28 )
Show that the invariant points of matrix s lie on a straight line, and find the equation of this line.

I tried to solve it by placing it through a x, y matrix but I get two equations which arent equivalent .

0 = 0.96y - 1.28x
0 = 1.28y - 0.96x

What should I be doing instead?

You want to argue that the invariant points lie on a line so y = mx.
Your second equation isnt correct.
(edited 8 months ago)

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