Question
Download Solution PDFA और B एक ही कोटि 2 × 2 के दो आव्यूह हैं जहाँ:
adj (adj A) का मान क्या होगा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFधारणा:
यदि A = [aij] कोटि n का एक वर्ग आव्यूह है और C = [cij] A का सहखंड आव्यूह है तो CT = [cji] को आव्यूह A का समायोजन कहा जाता है और इसे निम्न के रूप में दर्शाया जाता है: adj (A) = CT = [cji], 1 ≤ i, j ≤ n
यदि A कोटि n का एक वर्ग आव्यूह है और |A| ≠ 0 तो adj (adj A) = |A|n – 2 × A।
गणना:
दिया हुआ:
⇒ |A| = (1 × 0) – (2 × 2) = -4 ≠ 0.
जैसा कि हम जानते हैं कि कोटि n का कोई वर्ग आव्यूह A जिसका |A| ≠ 0 है तो adj (adj A) = |A|n – 2 × A।
⇒ adj (adj A) = (- 4)2 – 2 × A = A
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