Misc 4 - For what values of x, [1 2 1] [1 2 0 2 0 1 1 0 2] - Miscellaneous

part 2 - Misc 4 - Miscellaneous - Serial order wise - Chapter 3 Class 12 Matrices

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Misc 4 For what values of x, [1 2 1] [ā– 8(1&2&0@2&0&1@1&0&2)] [ā– 8(0@2@š‘„)] = O ? 怖"[1 2 1]" 怗_(1Ɨ3) [ā– 8(1&2&0@2&0&1@1&0&2)]_(3Ɨ3) [ā– 8(0@2@š‘„)]_(3Ɨ1) = O [ā– 8(1(1)+2(2)+1(1)&1(2)+2(0)+1(0)&1(0)+2(1)+1(2))]_(1Ɨ 3) [ā– 8(0@2@š‘„)]_(3Ɨ1)= O 怖"[ 1 + 4 + 1 2 + 0 + 0 0 + 2 + 2]" 怗_(1Ɨ 3) [ā– 8(0@2@š‘„)]_(3Ɨ1)= O 怖"[6 2 4]" 怗_(šŸĆ—šŸ‘) [ā– 8(šŸŽ@šŸ@š’™)]_(šŸ‘Ć—šŸ) = O 怖"[6(0) + 2(2) + 4(x)]" 怗_(1Ɨ1) = O 怖"[0 + 4 + 4x]" 怗_(1Ɨ1) = O 怖"[4 + 4x]" 怗_(1Ɨ1) = O Thus, 4 + 4x = 0 4x = – 4 x = (āˆ’4)/4 x = – 1 Hence the required value of x is – 1

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