![Ex 3.2, 11 - If x [2 3] + y [-1 1] = [10 5], find x and y - Ex 3.2](https://d1avenlh0i1xmr.cloudfront.net/bd8911fe-f9a8-4661-bad7-ba9ea7f8966f/slide1.jpg)
Ex 3.2, 11 - Chapter 3 Class 12 Matrices
Last updated at May 29, 2018 by Teachoo
Transcript
Ex 3.2, 11 If x [ 8(2@3)] + y [ 8( 1@1)] = [ 8(10@5)] , find values of x and y. x [ 8(2@3)] + y [ 8( 1@1)] = [ 8(10@5)] [ 8(2 @3 )] + [ 8( @ )] = [ 8(10@5)] [ 8(2 @3 + )] = [ 8(10@5)] Since the matrices are equal. corresponding elements are equal 2x y = 10 3x + y = 5 Solving equations Adding (1) & (2) (2x y) + (3x + y) = 10 + 5 2x y + 3x + y = 15 2x + 3y y + y = 15 5x + 0 = 15 x = 15/5 x = 3 Putting value of x in (1) 2x y = 10 2(3) y = 10 6 y = 10 y = 10 6 y = 4 y = 4 Hence, x = 3 & y = 4
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
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.