For this assessment, you will develop an 8–14 slide PowerPoint presentation with thorough speaker's notes designed for a hypothetical in-service session related to the improvement plan you developed in Assessment 2.

[ANSWER] MAT350 7.7 MATLAB: QR Factorization

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MAT350 7.7 MATLAB: QR Factorization

In this activity you will find the QR factorization for a matrix.

Consider the matrix A.

-2 0 3

A = [ 1 3 1 ]

0 1 -1

Use the qr() command to find the QR factorization of A, where Q is an orthogonal matrix and R is an upper triangular matrix.

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MAT350 7.7 MATLAB: QR Factorization

In this activity you will find the QR factorization for a matrix.

Consider the matrix A.

-2 0 3

A = [ 1 3 1 ]

0 1 -1

Use the qr() command to find the QR factorization of A, where Q is an orthogonal matrix and R is an upper triangular matrix.

A = [-2 0 3; 1 3 1; 0 1 -1]

[Q, R] = qr(A)

Verify QR=A.

checkA = Q*R

Use the following matrix for this activity.

1 0 3 -1

B = [ -2 1 0 5 ]

0 0 1 7

Enter the matrix B.  Then use the qr() command to

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find the QR factorization of B, storing the orthogonal matrix in QB and the upper triangular matrix in RB.  Note that while the focus of the last section of the zyBook was on square matrices, QR factorization can be done for any size matrix.

B = [ 1 0 3 -1; -2 1 0 5; 0 0 1 7]

[QB, RB] = qr(B);

Verify the result.  Find the product of QB and RB, storing it in checkB.  This matrix should equal the original matrix B.

checkB = QB * RB;

Related; MAT350 7.3 MATLAB: Norms and Distances.

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