Fp1 matrix question help neeeded

I dont understand these types of questions. part d)
here it says if the transformation T maps it self on to Y=kx
what i did was since the matrix transformation for y=x was
01
10
hence i thought that y=kx would be
0 K
K 0
and then just do
matrix R TIMES 0 K should equal 0K
K 0 K0
why is the line y=kx the same matrix as x
kx
help please!!!!

Reply 1

assassinbunny123

OP

17

Original post by assassinbunny123

I dont understand these types of questions. part d)
here it says if the transformation T maps it self on to Y=kx
what i did was since the matrix transformation for y=x was
01
10
hence i thought that y=kx would be
0 K
K 0
and then just do
matrix R TIMES 0 K should equal 0K
K 0 K0
why is the line y=kx the same matrix as x
kx
help please!!!!

question

OP

i think he asleep

Original post by BTAnonymous

i think he asleep

Indeed I was!

Original post by assassinbunny123

I dont understand these types of questions. part d)
here it says if the transformation T maps it self on to Y=kx
what i did was since the matrix transformation for y=x was
01
10
hence i thought that y=kx would be
0 K
K 0
and then just do
matrix R TIMES 0 K should equal 0K
K 0 K0
why is the line y=kx the same matrix as x
kx
help please!!!!

I have no idea what you're saying tbh and I think you were sleep deprived when writing that.

What does "transformation for y=x..." even mean??

\begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}

is the reflection matrix in the line

y=x

but the question doesn't ask you to do anything with this!

All you are told is that you have a matrix

\mathbf{R}

, whatever you found it to be, and it must map

(x,kx) \mapsto (x,kx)

(i.e. every point on the line y=kx to itself!)

So, you just need to express this as

\mathbf{R} \begin{pmatrix} x \\ kx \end{pmatrix} = \begin{pmatrix} x \\ kx \end{pmatrix}

and solve for

k

.

(edited 5 years ago)

Fp1 matrix question help neeeded

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