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अव्युत्क्रमणीय आव्यूह: कोटि n के किसी भी वर्ग आव्यूह को अव्युत्क्रमणीय कहा जाता है यदि |A| = 0।
अनैच्छिक आव्यूह: कोटि n के किसी भी वर्ग आव्यूह को अनैच्छिक आव्यूह कहा जाता है यदि A2 = I, जहां I कोटि n का तत्समक आव्यूह है।
शून्यंभावी आव्यूह: कोटि n के किसी भी वर्ग आव्यूह को शून्यंभावी आव्यूह कहा जाता है अगर वहां न्यूनतम धनात्मक पूर्णांक m मौजूद हो जैसे कि Am = O, जहां O कोटि n का शून्य आव्यूह है।
वर्गसम आव्यूह: कोटि n के किसी भी वर्ग आव्यूह को वर्गसम कहा जाता है यदि A2 = A।
गणना:
दिया हुआ:
इसलिए A एक अनैच्छिक आव्यूह है क्योंकि A2 = I।
Last updated on May 30, 2025
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