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Misc 9 - Find x, if [x  -5  -1] [1 0 2 0 2 1 2 0 3] - Finding unknown - Element

  1. Chapter 3 Class 12 Matrices
  2. Serial order wise
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Misc. 9 Find x, if [x -5 -1] [โ– 8(1&0&2@0&2&1@2&0&3)] [โ– 8(๐‘ฅ@4@1)] = O ใ€–"[x โˆ’5 โˆ’1]" ใ€—_(1ร—3) [โ– 8(1&0&2@0&2&1@2&0&3)]_(3ร—3) [โ– 8(๐‘ฅ@4@1)]_(3ร—1) = O ใ€–"[x(1) + (โˆ’5) (0) + (โ€“1) (2) x(0) +(โ€“ 5) (2) + (โˆ’1) 0 x(2) + (โ€“ 5)(1) + (โˆ’1) (3)]" ใ€—_(1ร—3) [โ– 8(๐‘ฅ@4@1)] = O ใ€–"[x + 0 โ€“ 2 0 โ€“ 10 + 0 2X โ€“ 5 โˆ’ 3]" ใ€—_(1ร—3) [โ– 8(๐‘ฅ@4@1)]_(3ร—1)= O ใ€–"[x โ€“ 2 โ€“ 10 2x โ€“ 8]" ใ€—_(1ร—3) [โ– 8(๐‘ฅ@4@1)]_(3ร—1) = O ใ€–"[(x โ€“ 2)(x) + (โˆ’10) (4) + (2x โˆ’ 8) (1) ]" ใ€—_(1ร—1) = 0 (xโ€“ 2)x โ€“ 10 (4) + 2x โ€“ 8 (1) = 0 x2 โ€“ 2x โ€“ 40 + 2x โ€“ 8 = 0 x2 + 0 โ€“ 48 = 0 x2 โ€“ 48 = 0 x2 = 48 x = ยฑ โˆš48 x = ยฑ โˆš(4ร—4ร—3) x = ยฑ 4โˆš3 Hence, x = ยฑ 4โˆš3

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