Matrix Transformations Grapher

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Enter pairs as x,y. Separate with spaces or new lines. For a point, provide one pair.

These match the matrices in your table

Transformation	Matrix [a b; c d]
Reflection in the x‑axis	[1 0; 0 −1]
Reflection in the y‑axis	[−1 0; 0 1]
Reflection in y = x	[0 1; 1 0]
Reflection in y = −x	[0 −1; −1 0]
Dilation from the y‑axis (scale x by c)	[c 0; 0 1]
Dilation from the x‑axis (scale y by c)	[1 0; 0 c]
Shear parallel to the x‑axis (by c)	[1 c; 0 1]
Shear parallel to the y‑axis (by c)	[1 0; c 1]
Projection onto the x‑axis	[1 0; 0 0]
Projection onto the y‑axis	[0 0; 0 1]

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Original = dashed • Transformed = solid • Area labels near centroids