Exercises 22–26 provide a glimpse of some widely used matrix factorizations, some of which are discussed later in the text.
(QR Factorization) Suppose A = QR, where Q and R are n × n, R is invertible and upper triangular, and Q has the property that QTQ = I . Show that for each b in ℝn, the equation Ax = b has a unique solution. What computations with Q and R will produce the solution?
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