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Example 10 - Chapter 3 Class 12 Matrices
Last updated at August 2, 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
Example 10 Find the values of x and y from the following equation: 2[ā 8(š„&5@7&š¦ā3)] + [ā 8(3&ā4@1&2)] = [ā 8(7&6@15&14)] 2[ā 8(š„&5@7&š¦ā3)] + [ā 8(3&ā4@1&2)] = [ā 8(7&6@15&14)] [ā 8(š„ Ć 2&5 Ć 2@7 Ć 2&(š¦ā3)Ć 2)] + [ā 8(3&ā4@1&2)] = [ā 8(7&6@15&14)] [ā 8(šš&šš@šš&šš āš)] + [ā 8(š&āš@š&š)] = [ā 8(š&š@šš&šš)] [ā 8(2š„+3&10 ā4@14+1&2š¦ ā6+2)] = [ā 8(7&6@15&14)] [ā 8(šš+š&š@šš&šš āš)] = [ā 8(š&š@šš&šš)] Since matrices are equal. Corresponding elements are equal 2x + 3 = 7 & 2y ā 4 = 14 Solving these equations Solving (1) 2x = 7 ā 3 2x = 4 x = 4/2 x = 2 Hence x = 2 & y = 9 Solving (2) 2y ā 4 = 14 2y = 14 + 4 2y = 18 y = šš/š = 9
