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Ex 3.1, 9 (MCQ) - 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 3.1, 9 Which of the given values of x and y make the following pair of matrices equal [■8(3x+7&5@y+1&2−3x)] = [■8(0&y−2@8&4)] (A) x = (−1)/3, y = 7 (B) Not possible to find (C) y = 7, x = (−2)/3 (D) x = (−1)/3, y = (−2)/3 Since matrices are equal. Their corresponding elements are equal 3x + 7 = 0 y – 2 = 5 y + 1 = 8 2 – 3x = 4 Solving these equations Solving (1) 3x + 7 = 0 3x = – 7 x = ("–" 𝟕)/𝟑 Solving (4) 2 – 3x = 4 2 – 4 = 3x –2 = 3x x = (−𝟐)/𝟑 x cannot have two values So, we cannot find value of x Similarly, we cannot find the value of y So, value of x & y is impossible to find. Hence, Correct answer is B
