Equations and Matrices (Part - 3) CA CPT Notes | EduRev

Business Mathematics and Logical Reasoning & Statistics

Created by: Sushil Kumar

CA CPT : Equations and Matrices (Part - 3) CA CPT Notes | EduRev

The document Equations and Matrices (Part - 3) CA CPT Notes | EduRev is a part of the CA CPT Course Business Mathematics and Logical Reasoning & Statistics.
All you need of CA CPT at this link: CA CPT

SUMMARY

In this unit basic applications to matrices and determinates has been studied. Matrix is

defined. Some special types of matrices are mentioned. Operations of matrices dealt with.

Determinants are defined and their properties are discussed. The methods Cramer’s rule.

1) General form matrix of order m × n is

Equations and Matrices (Part - 3) CA CPT Notes | EduRev

2) Only square matrices have determinates. A Determinant of n rows and n columns is

called determinant of order n . General form of determinant of order n is
Equations and Matrices (Part - 3) CA CPT Notes | EduRev

3) Only matrices of the same order can be added or subtracted. To add (or subtract) two

matrices, we add (or subtract) their corresponding elements.

4) To multiply a matrix with a number, we multiply every element of the matrix with that

number whereas to multiply a determinant with a number we multiply only one row (or

column) of the determinant with that number.

5) Two matrices can be multiplied only if the number of columns of the first is the same as

the number of rows of the second, E.g. , a 2 × 3 matrix can be multiplied by a 3 × 4 matrix.

The order of resulting matrix will be 3 × 4.

6) Transpose of a matrix A is the matrix obtained by interchanging rows and columns of the matrix A. It is denoted by A’or AT .

7) Adjoint of matrix A is transpose of the co-factor matrix of A, e.g.,
Equations and Matrices (Part - 3) CA CPT Notes | EduRev
Let C11 be co-factor of a11 and so on
Then Co-factor matrix of  Equations and Matrices (Part - 3) CA CPT Notes | EduRev
Equations and Matrices (Part - 3) CA CPT Notes | EduRev

Complete Syllabus of CA CPT

Dynamic Test

Content Category

Related Searches

study material

,

video lectures

,

Important questions

,

past year papers

,

MCQs

,

Previous Year Questions with Solutions

,

Extra Questions

,

Objective type Questions

,

Summary

,

Equations and Matrices (Part - 3) CA CPT Notes | EduRev

,

pdf

,

Exam

,

practice quizzes

,

shortcuts and tricks

,

mock tests for examination

,

Viva Questions

,

Semester Notes

,

Equations and Matrices (Part - 3) CA CPT Notes | EduRev

,

Equations and Matrices (Part - 3) CA CPT Notes | EduRev

,

ppt

,

Free

,

Sample Paper

;