Posted by **Alice** on Tuesday, February 24, 2009 at 6:12am.

Which 3 x 3 matrix represents a reflection in the yz plane followed by inversion through the origin?

- Math -
**drwls**, Tuesday, February 24, 2009 at 7:06am
That would be the product of the matrices of the two operations, done in that order. The first matrix changes x tp -x, and leaves y and z the same. The second matrix changes x to -x, y to -y and z to -z.

The product matrix leaves x unchanged and changes y to -y and z to -z.

The resulting matrix would seem to be

1...0...0

0.. -1..0

0...0..-1

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