Transpose a matrix using c++ program

This c program prints transpose of a matrix. It is obtained by interchanging rows and columns of a matrix. For example if a matrix is
1 2
3 4
5 6
then transpose of above matrix will be
1 3 5
2 4 6
When we transpose a matrix then the order of matrix changes, but for a square matrix order remains same.

Difference of two matrices in c ++

An item in a matrix is called an entry or an element. The example has entries 1, 9, 13, 20, 55, and 6. Entries are often denoted by a variable with two subscripts. Thus in the matrix above, a2,1 = 20. Matrices of the same size can be added and subtracted entry-wise and matrices of compatible sizes can be multiplied. These operations have many of the properties of ordinary arithmetic, except that matrix multiplication is not commutative, that is, AB and BA are not equal in general.

Addition of two matrices using c++ program

This c program add two matrices i.e. compute the sum of two matrices and then print it. Firstly user will be asked to enter the order of matrix ( number of rows and columns ) and then two matrices. For example if the user entered order as 2, 2 i.e. two rows and two columns and matrices as

Matrix Multiplication in C++

Matrix multiplication in c language: c program to multiply matrices (two dimensional array), this program multiplies two matrices which will be entered by the user. Firstly user will enter the order of a matrix. If the entered orders of two matrix is such that they can't be multiplied then an error message is displayed on the screen. You have already studied the logic to multiply them in Mathematics. Matrices are frequently used while doing programming and are used to represent graph data structure, in solving system of linear equations and many more.

Upper-Triangular Matrix transform and solving Using Back-Substitution in c++

Definition (Upper-Triangular Matrix).  

An [Graphics:Images/BackSubstitutionMod_gr_1.gif] matrix [Graphics:Images/BackSubstitutionMod_gr_2.gif] is called upper-triangular provided that the elements satisfy [Graphics:Images/BackSubstitutionMod_gr_3.gif] whenever [Graphics:Images/BackSubstitutionMod_gr_4.gif].  
    If A is an upper-triangular matrix, then [Graphics:Images/BackSubstitutionMod_gr_5.gif] is said to be an upper-triangular system of linear equations.  

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