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सममित आव्यूह: यदि एक आव्यूह का परिवर्त स्वयं के बराबर है तो उस आव्यूह को सममित कहा जाता है।
या आव्यूह A केवल तभी सममित है यदि गमनागमन सूचकांक अपने घटकों को परिवर्तित नहीं करता है।
- A = AT
- aij = aji
गणना:
दिया गया है -
एक वास्तविक वर्गाकार आव्यूह A = (aij) को सममित कहा जाता है, यदि A = AT है।
जहाँ AT = आव्यूह A का परिवर्त
∴ A = AT
A21 तत्व की तुलना करने पर।
⇒ x + 2 =2x - 3
⇒ x = 5
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