Matricies and Linear Transformations

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Reflection in y axis

(-1 0 / 0 1)

Reflection in x axis

(1 0 / 0 -1)

Reflection in y=x

(0 1 / 1 0)

Reflection in y = -x

(0 -1 / -1 0)

Rotation by angle x anti clockwise about origin

(cosx -sinx / sinx cosx)

Enlargement scale factor x

(x 0 / 0 x)

Reflection in plane x=0 / yz plane

(-1 0 0 / 0 1 0 / 0 0 1)

Reflection in plane y = 0 / xz plane

(1 0 0 / 0 -1 0 / 0 0 1)

Reflection in plane z=0 / xy plane

(1 0 0 / 0 1 0 / 0 0 -1)

Rotation by x around x axis

(1 0 0 / 0 cosx -sinx / 0 sinx cosx

Rotation by x around y axis

(cosx 0 sinx / 0 1 0 / - sinx 0 cosx)

Rotation by x around z axis

(cosx - sinx 0 / sinx cosx 0 / 0 0 1)