![Ex 3.2, 6 - Simplify cos [ cos sin -sin cos] - Class 12 Matrices - Addition/ subtraction of matrices](https://d1avenlh0i1xmr.cloudfront.net/59d3992b-3797-47f4-a344-47511a94f710/slide21.jpg)
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Ex 3.2, 6 - Chapter 3 Class 12 Matrices (Term 1)
Last updated at May 29, 2018 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, 6 Simplify cos [ 8(cos &sin @ sin &cos )] + sin [ 8(sin & cos @cos &sin )] cos [ 8(cos &sin @ sin &cos )] + sin [ 8(sin & cos @cos &sin )] = [ 8("cos " ("cos " )&cos (sin )@cos ( )&cos (cos ))] + [ 8(sin (sin )&sin ( "cos " ) @sin ("cos " )&sin (sin ))] = [ 8(cos2 &cos sin @ cos sin &cos2 )] + [ 8(sin2 & cos sin @sin cos &sin2 )] = [ 8(cos2 +sin2 &sin cos cos sin @ cos sin +sin cos &cos2 +sin2 )] = [ 8(cos2 +sin2 &0@0&cos2 +sin2 )] = [ 8(1&0@0&1)]
