ShearingMatrix

ShearingMatrix[θ, v, n] gives the matrix corresponding to shearing by θ radians along the direction of the vector v, and normal to the vector n.

Examples

ShearingMatrix[Pi/6, {1, 0}, {0, 1}]
(* {{1, 1/Sqrt[3]}, {0, 1}} *)

ShearingMatrix[0.5, {1, 0, 0}, {0, 1, 0}]
(* {{1, 0.546, 0}, {0, 1, 0}, {0, 0, 1}} *)

Please visit the official Wolfram Language Reference for more details.