MathAlgebraLinear algebraLinear operators

Actions with linear operators

A projection operator

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Let $P$ be the projection operator on the horizontal axis and $Q$ be the projection operator on the vertical axis.

A projection operator

In geometrical terms, what is $R = -P -Q$ ?

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The symmetry operator about the vertical axis.

The symmetry operator with respect to the origin.

The symmetry operator about the horizontal axis.

The symmetry operator with respect to the line

y = x

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