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QR Decomposition Calculator
Compute the QR Factorization (Q and R matrices) of a 2x2 matrix
Formula (Gram-Schmidt Process): For a matrix $A = [u_1, u_2]$, orthogonal vectors are computed as $v_1 = u_1$, $v_2 = u_2 - \frac{\langle u_2, q_1 \rangle}{\langle q_1, q_1 \rangle} q_1$, normalized to form orthogonal matrix $Q$, and upper triangular matrix $R = Q^T A$. Enter 2x2 matrix elements below.
Matrix A Inputs
Decomposition Results
⚠️ For educational purposes only. Verify results with a qualified professional when making important decisions.