vestirme4
2021-01-19
Aamina Herring
Skilled2021-01-20Added 85 answers
Step 1
Given information:
Suppose A = QR is a QR factorization of an matrix A(with linearly independent columns).
Partition A as has p columns.
Step 2
Explanation:
Partition Q should be written as follows:
has p columns.
As you write R's partition, you should:
matrix.
Step 3
Replace Q and R's partition values in the partition A.
Refer to the calculated equation:
The value of
The matrix has orthogonal columns since it is derivedfrom Q.
The matrix is a square and upper triangular matrix.
The diagonal entries are positive since these are diagonal entries of the matrix R.
Therefore, is a QR factorization of .
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