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As a generalization of a Hadamard matrix, a c-matrix is a square matrix with one entry 0 and all other entries -1 or 1 in each row. With each row being pairwise orthogonal. Show that the transpose of a c-matrix is a c-matrix.

I can visualize why this true but I'm not sure how to go about proving this.

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You can turn the matrix into an orthogonal matrix by normalizing rows appropriately. Then argue from there...

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