Determine whether the following statements are true or false. All vectors are in R". 1. A square matrix with orthonormal columns is invertible. ? v 2. If Q is an m x n matrix with orthonormal columns, then QTQ = In, the n x n identity matrix. %3D ? 3. If a set S = {u1,..., u,} has the property that (u;, u;) = 0 whenever i + j, then S is an orthonormal set. 4. Every orthogonal set in R" is a linearly independent set.

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