[Solved] What does QR decomposition do to a matrix A? — Ans: Splits A into an orthogonal matrix Q and an upper triangular matrix R | SciPy

SciPy - Linear Algebra (scipy.linalg)

What does QR decomposition do to a matrix A?

AConverts <code>A</code> into a lower triangular matrix only

BSplits <code>A</code> into two diagonal matrices

CSplits <code>A</code> into an orthogonal matrix <code>Q</code> and an upper triangular matrix <code>R</code>

DFinds the inverse of <code>A</code> directly

Step-by-Step Solution

Solution:

Step 1: Understand QR decomposition definition
QR decomposition splits a matrix into two parts: an orthogonal matrix Q and an upper triangular matrix R.
Step 2: Compare options with definition
Only Splits A into an orthogonal matrix Q and an upper triangular matrix R correctly describes this split. Others describe different matrix operations.
Final Answer:
Splits A into an orthogonal matrix Q and an upper triangular matrix R -> Option C
Quick Check:
QR decomposition = Q and R matrices [OK]

Quick Trick: QR always produces Q (orthogonal) and R (upper triangular) [OK]

Common Mistakes:

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What does QR decomposition do to a matrix A?