Find the QR decomposition of the given matrix where possible

Find the QR decomposition of the given matrix, where possible (with one additional empty sheet after this page for your work): A = [0 -1 1 1 1 -1 0 1 1 0 -1 -1]

Solution

orthogonal matrix (Q) and an upper triangular matrix (R) using QR Decomposition method

A = QR,

where Q is an orthogonal matrix and

R is an upper triangular matrix.

Matrix Q:
0.0000 0.5774 -0.8165 -0.0000
-1.0000 0.0000 0.0000 0.0000
0.0000 -0.5774 -0.4082 0.7071
0.0000 0.5774 0.4082 0.7071

Matrix R:
-1.0000 -1.0000 1.0000
0.0000 -1.7321 -0.5774
0.0000 0.0000 -1.6330
0.0000 0.0000 0.0000