Question

Use matrix inversion to show that
the inverse transformation for a reflection about y=x is reflection about y=-x

Answer 1

Plot 0,1 and take a reflection about your axis. Find out the new coordinates and construct a matrix

Answer 2

the matrix formed is of the form[0 1,1 0] but what is it proving?

Answer 3

It means that if you multiply and coordinate by this matrix you'll get it's reflection with the stated axis

Answer 4

ok i got it i have another question
All sequences in R infinity whose component are 0 from point on
Is this a subspace in R infinity

Answer 5

Um.. Explain a little more.. I didn't get it

Answer 6

we have to find is the given sequence a subspace in R infinity
this is all given to me