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Misc 6 - 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 6 Find x, if [x -5 -1] [โ 8(1&0&2@0&2&1@2&0&3)] [โ 8(๐ฅ@4@1)] = O ใ"[x โ5 โ1]" ใ_(1ร3) [โ 8(1&0&2@0&2&1@2&0&3)]_(3ร3) [โ 8(๐ฅ@4@1)]_(3ร1) = O ใ"[x(1) + (โ5) (0) + (โ1)(2) x(0) +(โ 5) (2) + (โ1)0 x(2) + (โ 5)(1) + (โ1)(3)]" ใ_(1ร3) [โ 8(๐ฅ@4@1)] = O ใ"[x + 0 โ 2 0 โ 10 + 0 2x โ 5 โ 3]" ใ_(1ร3) [โ 8(๐ฅ@4@1)]_(3ร1)= O ใ"[x โ 2 โ 10 2x โ 8]" ใ_(1ร3) [โ 8(๐ฅ@4@1)]_(3ร1) = O ใ"[(x โ 2)(x) + (โ10) (4) + (2x โ 8) (1)]" ใ_(1ร1) = O (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 = ยฑโ48 x = ยฑโ(4 ร 4 ร 3) x = ยฑ 4โ3 Hence, x = ยฑ 4โ๐
