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In this series of two papers, we will prove a natural matrix weighted $T1$theorem for matrix kernelled CZOs. In the current paper, we will prove matrixweighted norm inequalities for matrix symbolled paraproducts via a generalmatrix weighted Carleson embedding theorem. Along the way, we will also providea stopping time proof of the identification of $L^p(W)$ as a weightedTriebel-Lizorkin space when $W$ is a matrix A${}_p$ weight.

A matrix weighted $T1$ theorem for matrix kernelled Calderon Zygmund operators - I