The MATLAB command qr performs the QR decomposition of a matrix. erise 3.2.48 To

Question

The MATLAB command qr performs the QR decomposition of a matrix. erise 3.2.48 To the interest of keeping the output uncomplicated, MATLAB delivers the assembled Q matrix. Try out the following MATLAB commands, for example n=7 A = randn(n) [Q, R] = qr (A) norm (eye (n)-Q' *o) norm (A-Q*R) Notice that MATLAB does not bother to make the main-diagonal entries of R positive, since this is not essential for most applications. A number of other ways to use the gr command will be discussed in the coming section. For further information type help qr or search in MATLAB's help browser

Explanation / Answer

Those commands are already in Matlab form.Just type the exact equations in Matlab and you will get the desired results. :D

Matlab form:

n=7;

A=randn(n);

[Q,R]=qr(A);

z=Q'.*Q;

norm(eye(n)-z);

norm(A-Q.*R);

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