# Misc. 7 - Chapter 3 Class 12 Matrices

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Misc. 7 For what values of x, [1 2 1] [ 8(1&2&0@2&0&1@1&0&2)] [ 8(0@2@ )] = O ? "[1 2 1]" _(1 3) [ 8(1&2&0@2&0&1@1&0&2)]_(3 3) [ 8(0@2@ )]_(3 1) = O [ 8(1(1)+2(2)+1(1)&1(2)+2(0)+1(0)&1(0)+2(1)+1(2))]_(1 3) [ 8(0@2@ )]_(3 1)= O "[ 1 + 4 + 1 2 + 0 + 0 0 + 2 + 2]" _(1 3) [ 8(0@2@ )]_(3 1)= O "[6 2 4]" _(1 3) [ 8(0@2@ )]_(3 1) = O "[6(0) + 2(2) + 4(x)]" _(1 1) = O "6(0) + 2(2) + 4(x)" = 0 0 + 4 + 4x = 0 4x = 4 x = ( 4)/4 x = 1 Hence the required value of x is 1

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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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.