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हमें दी गई मैट्रिक्स का QR डीकंपोज़िशन करना है: [ A = \begin{bmatrix} 2 & -2 & 1 \ 2 & 2 & 1 \ 0 & 1 & 1 \ 1 & 0 & 1 \end{bmatrix}. ] QR decomposition के लिए Gram-Schmidt प्रक्रिया अपनाते हैं। Step 1: कॉलम वेक्टर चुनें [ a_1 = \begin{bmatrix} 2 \ 2 \ 0 \ 1 \end{bmatrix}, \quad a_2 = \begin{bmatrix} -2 \ 2 \ 1 \ 0 \end{bmatrix}, \quad a_3 = \begin{bmatrix} 1 \ 1 \ 1 \ 1 \end{bmatrix}. ] Step _______ __________ ______ __________ _____ ____ ____ _________ ________ _____ ___ __________.
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