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We are given three vectors in \( \mathbb{C}^4 \): \[ v_1 = (1, i, 0, 1), \quad v_2 = (1, 0, i, 0), \quad v_3 = (-i, 0, 1, -1) \] To find an orthonormal basis using the Gram-Schmidt process, we proceed step by step. ### Step 1: Set up the process We start with the given vectors, and our goal is to transform them into an orthonormal set. The Gram-Schmidt process is applied as follows: 1. Let \( u_1 = v_1 __________ ___ _____ ______ ____ _________ ________ _____ ________ _____ ____ __________.
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