Explain why an equation ax = b has a solution

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Explain why an equation Ax = b has a solution if and only if b is orthogonal to all solutions of the equation A Tx = 0. Exercises 15 and 16 concern the (real) Schur factorization of an n X n matrix A in the form A = URUT, where U is an orthogonal matrix and R is an n X n upper triangular matrix.1

Reference no: EM131074427

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