Given A QR as in Theorem 12, describe how to find an orthogonal m m (square) matrix Q 1 and an invertible n n upper triangular matrix R such that The MATLAB qr command supplies this full QR factorization when rank A n Data from in Theorem 12 4 0 8 A Q

Question: Given A = QR as in Theorem 12, describe how to find an orthogonal m m (square) matrix Q 1 and an invertible n

Given A = QR as in Theorem 12, describe how to find an orthogonal m × m (square) matrix Q₁ and an invertible n × n upper triangular matrix R such that 4= 0 [8] A Q

The MATLAB qr command supplies this "full" QR factorization when rank A = n.

Data from in Theorem 12

4= 0 [8] A Q

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