Question
सिद्ध कीजिए कि ऐकिक आव्यूह का प्रत्येक आइगेनमान एकक मापांक वाला होता है।
Answer :
Word Count : 162
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____ _________ ________ __________ _________ _______ ______ _____ ____ ________.
____ _____ ______ ___ _____ ____ _________ ________ _____.
_________ _______ ___ __________ _________ ______ ____ ________ _______ ____ ______.
__________ __________ _____ _______ ______ ________ ________ _____ ____ _________ ______ ____.
__________ ____ _________ ________ __________.
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यदि (A) एक ऐकिक आव्यूह (unitary matrix) है, तो इसकी परिभाषा के अनुसार [ A^\dagger A = AA^\dagger = I ] जहाँ (A^\dagger) (A) का हरमीशियन संयुग्म ट्रांसपोज़ है और (I) पहचान आव्यूह है। मान लीजिए (\lambda) (A) का एक आइगेनमान है और (\mathbf{v}) उसका
_____ ________ _____ _______ ____ __________ ______.________ _________ ______ ________ ___ _________ _________ _______ ______ ______.
___ ____ ___ ________ _____ _________ __________ _________.
__________ _______ ______ _____ _____ ________ ________ _______ ___ __________ _____.
___ ______ ______ __________ _______ ____ ______ ______ _______ ____ __________ ____.
____ _______ ___ ___ ___ ______ _______ ________ _________ ___ ____ _____.
_________ ________ _____ ______ __________ ________ _________ ___ ______ ________.
____ _________ ________ __________ _________ _______ ______ _____ ____ ________.
____ _____ ______ ___ _____ ____ _________ ________ _____.
_________ _______ ___ __________ _________ ______ ____ ________ _______ ____ ______.
__________ __________ _____ _______ ______ ________ ________ _____ ____ _________ ______ ____.
__________ ____ _________ ________ __________.
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