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Misc 7 - For what values of x, [1 2 1] [1 2 0 2 0 1 1 0 2] - Miscellaneous

  1. Chapter 3 Class 12 Matrices
  2. Serial order wise
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Misc. 7 For what values of x, [1 2 1] [โ– 8(1&2&0@2&0&1@1&0&2)] [โ– 8(0@2@๐‘ฅ)] = O ? ใ€–"[1 2 1]" ใ€—_(1ร—3) [โ– 8(1&2&0@2&0&1@1&0&2)]_(3ร—3) [โ– 8(0@2@๐‘ฅ)]_(3ร—1) = O [โ– 8(1(1)+2(2)+1(1)&1(2)+2(0)+1(0)&1(0)+2(1)+1(2))]_(1ร— 3) [โ– 8(0@2@๐‘ฅ)]_(3ร—1)= O ใ€–"[ 1 + 4 + 1 2 + 0 + 0 0 + 2 + 2]" ใ€—_(1ร— 3) [โ– 8(0@2@๐‘ฅ)]_(3ร—1)= O ใ€–"[6 2 4]" ใ€—_(1ร—3) [โ– 8(0@2@๐‘ฅ)]_(3ร—1) = O ใ€–"[6(0) + 2(2) + 4(x)]" ใ€—_(1ร—1) = O โ‡’ "6(0) + 2(2) + 4(x)" = 0 0 + 4 + 4x = 0 4x = โ€“ 4 x = (โˆ’4)/4 x = โ€“ 1 Hence the required value of x is โ€“ 1

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