  In the 2-local stable homotopy category the group of left-bu-module
automorphisms of bu\wedge bo which induce the identity on mod 2 homology is
isomorphic to the group of infinite upper triangular matrices with entries in
the 2-adic integers. We identify the conjugacy class of the matrix
corresponding to 1\wedge\psi^3, where \psi^3 is the Adams operation.
