Let A be a 3 x 4 matrix, let y, and y, be vectors in R3, and let w = y, + y2. Suppose y, = Ax, and y, = Ax, for some vectors x1 and x2 in R*. What fact allows you to conclude that the system Ax = w is consistent? (Note: x, and x2 denote vectors, not scalar entries in vectors.)

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Q: Given the matrix 6 0 0 A= 0 2 2 0 2 2 find an orthogonal diagonalization of A: A = QDQ"

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