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Ex 3.2, 9 - Chapter 3 Class 12 Matrices
Last updated at December 16, 2024 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
Transcript
Ex 3.2,9 Find x and y, if 2[ā 8(1&3@0&š„)] + [ā 8(š¦&0@1&2)] = [ā 8(5&6@1&8)] Given that 2[ā 8(1&3@0&š„)] + [ā 8(š¦&0@1&2)] = [ā 8(5&6@1&8)] [ā 8(1Ć2&3Ć2@0Ć2&š„Ć2)] + [ā 8(š¦&0@1&2)] = [ā 8(5&6@1&8)] [ā 8(š&š@š&šš)] + [ā 8(š&š@š&š)] = [ā 8(š&š@š&š)] [ā 8(2+š¦&6+0@0+1&2š„+2)] = [ā 8(5&6@1&8)] [ā 8(š+š&š@š&šš+š)] = [ā 8(š&š@š&š)] Since matrices are equal. Corresponding elements are equal Therefore, 2 + y = 5 2x + 2 = 8 Solving (1) 2 + y = 5 y = 5 ā 2 y = 3 Solving (2) 2x + 2 = 8 2x = 8 ā 2 2x = 6 x = š/š = 3 Hence, x = 3 & y = 3
