1. Matrix operations circuitry comprising: a multiplier circuit configured to selectively apply complex multiplication operations to input data for computing one of a conjugate dot product vector and a non-conjugate dot product vector; and matrix memory coupled to the multiplier circuit, the matrix memory configured to store a composite matrix, wherein: the conjugate dot product vector corresponds to a matrix decomposition operation for triangulating an input matrix to generate an element of a triangulated matrix, the non-conjugate dot product vector corresponds to a forward substitution operation for determining an element of a forward substitution vector from the triangulated matrix, the composite matrix comprises a first portion corresponding to the input matrix and a second portion corresponding to a product result matrix that is a product of the triangulated matrix and the forward substitution vector, and the multiplier circuit is configured to process the first portion of the composite matrix to compute the conjugate dot product vector and the second portion of the composite matrix to compute the non-conjugate dot product vector.