Question
Download Solution PDFA आणि B समान काेटी 2 × 2 असलेले दोन सारण्या आहेत, जेथे\(A = \left[ {\begin{array}{*{20}{c}} 1&2\\ 2&0 \end{array}} \right]\;and\;B = \left[ {\begin{array}{*{20}{c}} 2&3\\ 0&2 \end{array}} \right]\)
adj (adj A) चे मूल्य काय आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
जर A = [aij] हे काेटी n ची चौरस सारणी असेल आणि C = [cij] A चे सहघटक सारणी असेल तर CT = [cji] याला सारणी A चे आयुग्मी म्हटले जाते आणि ते असे दर्शवले जाते: adj (A) = CT = [cji], 1 ≤ i, j ≤ n.
जर A हे काेटी n आणि |A| ची चौरस सारणी असेल ≠ 0 तर adj (adj A) = |A|n – 2 × A.
गणना:
दिलेले आहे: \(A = \left[ {\begin{array}{*{20}{c}} 1&2\\ 2&0 \end{array}} \right]\)
⇒ |A| = (1 × 0) – (2 × 2) = -4 ≠ 0.
जसे आपल्याला माहित आहे की काेटी n चे कोणतीही चौरस सारणी A ज्याचे |A| ≠ 0 तर adj (adj A) = |A|n – 2 × A.
⇒ adj (adj A) = (- 4)2 – 2 × A = A.Last updated on Jul 8, 2025
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