It says: "One of the five given matrices reps an orthogonal projection onto a line and another reps a reflection in a line. Identify both and briefly justify your choice"
Now does this mean to just pick out both, or identify them separately each?? I can tell which two are both, but I can't distinguish between them..
For anyone interested, the two are:
1/3 *
[1 2 2]
[2 1 2]
[2 2 1]
and
1/3 *
[-1 2 2]
[2 -1 2]
[2 2 -1]
I can tell those are the only two because they contain unit vectors while the others don't..can one tell which one is an orthogonal proj, and which one is a reflection??
Now does this mean to just pick out both, or identify them separately each?? I can tell which two are both, but I can't distinguish between them..
For anyone interested, the two are:
1/3 *
[1 2 2]
[2 1 2]
[2 2 1]
and
1/3 *
[-1 2 2]
[2 -1 2]
[2 2 -1]
I can tell those are the only two because they contain unit vectors while the others don't..can one tell which one is an orthogonal proj, and which one is a reflection??
