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Ex 3.2, 9 - Chapter 3 Class 12 Matrices
Last updated at Dec. 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[■8(1&3@0&𝑥)] + [■8(𝑦&0@1&2)] = [■8(5&6@1&8)] Given that 2[■8(1&3@0&𝑥)] + [■8(𝑦&0@1&2)] = [■8(5&6@1&8)] [■8(1×2&3×2@0×2&𝑥×2)] + [■8(𝑦&0@1&2)] = [■8(5&6@1&8)] [■8(𝟐&𝟔@𝟎&𝟐𝒙)] + [■8(𝒚&𝟎@𝟏&𝟐)] = [■8(𝟓&𝟔@𝟏&𝟖)] [■8(2+𝑦&6+0@0+1&2𝑥+2)] = [■8(5&6@1&8)] [■8(𝟐+𝒚&𝟔@𝟏&𝟐𝒙+𝟐)] = [■8(𝟓&𝟔@𝟏&𝟖)] Since matrices are equal. Corresponding elements are equal Therefore, 2 + y = 5 2x + 2 = 8 Solving (1) 2 + y = 5 y = 5 – 2 y = 3 Solving (2) 2x + 2 = 8 2x = 8 – 2 2x = 6 x = 𝟔/𝟐 = 3 Hence, x = 3 & y = 3
