QR decomposition (for TI compatibility): QR

The QR command finds the QR decomposition of a matrix.

QR takes three arguments:
- A, a square matrix.
- q and r, two variable names.
QR(A,q,r) returns the matrix R from the QR decomposition of A, and assigns the matrices Q and R to the variables q and r.

Example.
Input:

QR([[3,5],[4,5]],Q,R)

Output (the matrix R):

⎡
⎢
⎣

5	7
0	1

⎤
⎥
⎦

Input:

Output (the matrix Q):

⎛
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎝

−

⎞
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎠