Commutation (e.g. the bivector imaginary anticommutes)

Com2[A_, B_] := Mul2[A, B] - Mul2[B, A]

Com2[i2, avec]//MatrixForm

( {{0}, {{2 ay, -2 ax}}, {0}} )

AntiCom2[A_, B_] := Mul2[A, B] + Mul2[B, A]

AntiCom2[i2, avec]//MatrixForm (* i2 anticommutes with vectors *)

( {{0}, {{0, 0}}, {0}} )


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