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# Chapter 3 Class 12 Matrices

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Learn Chapter 3 Matrices of Class 12 free with solutions of all NCERT Questions including Examples and Exercises.

In this chapter, we learn

• What a matrix is, how we form it and what is its order
• Then we see different types of matrix like Square matrix, Zero matrix, Identity Matrix, Row Matrix, Column Matrix etc.
• If two matrices are equal, then how to find its elements
• How to add and subtract matrices,
• And their Statement questions
• Then how to multiply the matrices, keeping in mind their order
• And its statement questions
• How to solve a x + y, or an x + y + z equation using matrices
• Then, finding an element when some equation is given
• Or, finding a whole matrix when some equation is given
• What is a Transpose of a Matrix, and its order
• Then, What are Symmetric and skew symmetric matrices... and how to represent any matrix as a sum of symmetric and skew symmetric matrix
• Then, doing some proof questions using Transpose property - (AB)' = B'A'
• And finding Inverse of a matrix using elementary Transformation. Please check all of its questions. Specially the ones marked important
• And then, finally, there are some questions on proof using Mathematical Induction

Check out the chapter NCERT way, or the preferred ... concept wise way

## Concept wise

What's in it?

Learn Chapter 3 Matrices of Class 12 free with solutions of all NCERT Questions including Examples and Exercises.

In this chapter, we learn

• What a matrix is, how we form it and what is its order
• Then we see different types of matrix like Square matrix, Zero matrix, Identity Matrix, Row Matrix, Column Matrix etc.
• If two matrices are equal, then how to find its elements
• How to add and subtract matrices,
• And their Statement questions
• Then how to multiply the matrices, keeping in mind their order
• And its statement questions
• How to solve a x + y, or an x + y + z equation using matrices
• Then, finding an element when some equation is given
• Or, finding a whole matrix when some equation is given
• What is a Transpose of a Matrix, and its order
• Then, What are Symmetric and skew symmetric matrices... and how to represent any matrix as a sum of symmetric and skew symmetric matrix
• Then, doing some proof questions using Transpose property - (AB)' = B'A'
• And finding Inverse of a matrix using elementary Transformation. Please check all of its questions. Specially the ones marked important
• And then, finally, there are some questions on proof using Mathematical Induction

Check out the chapter NCERT way, or the preferred ... concept wise way