Download CBSE Class 12 Mathematics Matrices And Determinants Notes in PDF format. All Revision notes for Class 12 Mathematics have been designed as per the latest syllabus and updated chapters given in your textbook for Mathematics in Class 12. Our teachers have designed these concept notes for the benefit of Class 12 students. You should use these chapter wise notes for revision on daily basis. These study notes can also be used for learning each chapter and its important and difficult topics or revision just before your exams to help you get better scores in upcoming examinations, You can also use Printable notes for Class 12 Mathematics for faster revision of difficult topics and get higher rank. After reading these notes also refer to MCQ questions for Class 12 Mathematics given on studiestoday
Revision Notes for Class 12 Mathematics Chapter 3 Matrices
Class 12 Mathematics students should refer to the following concepts and notes for Chapter 3 Matrices in Class 12. These exam notes for Class 12 Mathematics will be very useful for upcoming class tests and examinations and help you to score good marks
Chapter 3 Matrices Notes Class 12 Mathematics
MATRIX : A matrix is a rectangular array of m*n numbers arranged in m rows and n columns.
* Row Matrix : A matrix which has one row is called row matrix. A=[a i j]1*n
* Column Matrix: A matrix which has one column is called column matrix. A=[a i j]m*1
* Square Matrix: A matrix in which number of rows are equal to number of columns, is called a square matrix A= [a i j]m*m
* Diagonal Matrix : A square matrix is called a Diagonal Matrix if all the elements, except the diagonal elements are zero.
* Scalar Matrix: A square matrix is called scalar matrix it all the elements, except diagonal elements are zero and diagonal element are equal.
* Identity or Unit Matrix: A square matrix in which all the non diagonal elements are zero and diagonal elements are unity is called identity or unit matrix.
* Null Matrix: A matrix in which all element are zero.
* Equal Matrices: Two matrices are said to be equal if they have same order and all their corresponding elements are equal.
* Transpose of matrix: If A is the given matrix, then the matrix obtained by interchanging the rows and columns is called the transpose of a matrix.
* Properties of Transpose:
If A & B are matrices such that their sum & product are defined, then
* Symmetric Matrix: A square matrix is said to be symmetric if
A=AT i.e if A=[a i j ]m*m , then a i j=a j i for all i,j. Also elements of the symmetric matrix are symmetric about the main diagonal.
* Skew symmetric Matrix : A square matrix is said to be skew symmetric if AT = - A.
Multiplication of a matrix by a scalar:
IfA = [aij] m × n is a matrix and k is a scalar, then kA is another matrix which is obtained by multiplying each element of A by the scalar k.
*Product of matrices: If A & B are two matrices, then product AB is defined, if no. of columns of A = no. of rows of B. Let A= [a i j]m*n and B = [ b jk]n*p then AB is the matrix C of the order mxp.To get (i.k)th element Cik of the matrix C we take i th row of A and k th column of B, multiply them elementwise and take the sum of all these products
please click the link below to download pdf file for CBSE Class 12 Mathematics Matrices and Determinants.
| CBSE Class 12 Mathematics Relations And Functions Notes Set A |
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| CBSE Class 12 Mathematics Differential Equation Notes |
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| CBSE Class 12 Mathematics Important Concepts For All Chapters |
CBSE Class 12 Mathematics Chapter 3 Matrices Notes
We hope you liked the above notes for topic Chapter 3 Matrices which has been designed as per the latest syllabus for Class 12 Mathematics released by CBSE. Students of Class 12 should download and practice the above notes for Class 12 Mathematics regularly. All revision notes have been designed for Mathematics by referring to the most important topics which the students should learn to get better marks in examinations. Studiestoday is the best website for Class 12 students to download all latest study material.
Notes for Mathematics CBSE Class 12 Chapter 3 Matrices
Our team of expert teachers have referred to the NCERT book for Class 12 Mathematics to design the Mathematics Class 12 notes. If you read the concepts and revision notes for one chapter daily, students will get higher marks in Class 12 exams this year. Daily revision of Mathematics course notes and related study material will help you to have a better understanding of all concepts and also clear all your doubts. You can download all Revision notes for Class 12 Mathematics also from www.studiestoday.com absolutely free of cost in Pdf format. After reading the notes which have been developed as per the latest books also refer to the NCERT solutions for Class 12 Mathematics provided by our teachers
Chapter 3 Matrices Notes for Mathematics CBSE Class 12
All revision class notes given above for Class 12 Mathematics have been developed as per the latest curriculum and books issued for the current academic year. The students of Class 12 can rest assured that the best teachers have designed the notes of Mathematics so that you are able to revise the entire syllabus if you download and read them carefully. We have also provided a lot of MCQ questions for Class 12 Mathematics in the notes so that you can learn the concepts and also solve questions relating to the topics. All study material for Class 12 Mathematics students have been given on studiestoday.
Chapter 3 Matrices CBSE Class 12 Mathematics Notes
Regular notes reading helps to build a more comprehensive understanding of Chapter 3 Matrices concepts. notes play a crucial role in understanding Chapter 3 Matrices in CBSE Class 12. Students can download all the notes, worksheets, assignments, and practice papers of the same chapter in Class 12 Mathematics in Pdf format. You can print them or read them online on your computer or mobile.
Notes for CBSE Mathematics Class 12 Chapter 3 Matrices
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