Even if A is rectangular, the block matrix B = [1T ~] is symmetric: Bx = AX is which is
Chapter 6, Problem 16(choose chapter or problem)
Even if A is rectangular, the block matrix B = [1T ~] is symmetric: Bx = AX is which is Az =AY ATy = AZ. (a) Show that -A is also an eigenvalue, with the eigenvector (y, -z). (b) Show that AT Az = A 2 Z , so that A 2 is an eigenvalue of AT A. (c) If A = ! (2 by 2) find all four eigenvalues and eigenvectors of B
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