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Misc 4 - Chapter 3 Class 12 Matrices
Last updated at August 13, 2026 by Teachoo
Chapter 3 Class 12 Matrices
Concept wise
- Formation and order of matrix
- Types of matrices
- Equal matrices
- Addition/ subtraction of matrices
- Statement questions - Addition/Subtraction of matrices
- Multiplication of matrices
- Statement questions - Multiplication of matrices
- Solving Equation
-
Finding unknown - Element
- Finding unknown - Matrice
- Transpose of a matrix
- Symmetric and skew symmetric matrices
- Proof using property of transpose
- Inverse of matrix using elementary transformation
- Proof using mathematical induction
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Transcript
Misc 4 For what values of x, [1 2 1] [โ 8(1&2&0@2&0&1@1&0&2)] [โ 8(0@2@๐ฅ)] = O ? ใ"[1 2 1]" ใ_(1ร3) [โ 8(1&2&0@2&0&1@1&0&2)]_(3ร3) [โ 8(0@2@๐ฅ)]_(3ร1) = 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@๐ฅ)]_(3ร1)= O ใ"[ 1 + 4 + 1 2 + 0 + 0 0 + 2 + 2]" ใ_(1ร 3) [โ 8(0@2@๐ฅ)]_(3ร1)= O ใ"[6 2 4]" ใ_(๐ร๐) [โ 8(๐@๐@๐)]_(๐ร๐) = O ใ"[6(0) + 2(2) + 4(x)]" ใ_(1ร1) = O ใ"[0 + 4 + 4x]" ใ_(1ร1) = O ใ"[4 + 4x]" ใ_(1ร1) = O Thus, 4 + 4x = 0 4x = โ 4 x = (โ4)/4 x = โ 1 Hence the required value of x is โ 1
