Type of matrices:

-

Type of matrices:

There are many types of matrices which are described as below.

Row matrix:

                       A type of matrix in which only one row exist.The number of columns does not matters.Columns may be one or two or more than two.

For example:
                        ⟮1 5 7 9 ⟯  , ⟮2 1 3⟯

column matrix:

                              A type of matrix  in which only one column exist.The no of rows does not matter.Whether they are one or two or three.

For example:
                   
  

Rectangular matrix:

                                      A type of matrix in which number of rows not equal to number of column.There may be 2 rows and 5 columns or 7 rows and 4 columns.

For example:

Square matrix:

                            A matrix in which the number of rows are always equal to the number of columns.
For  a square matrix it is important that the number of rows should be equal to the number of columns.

For example:

Diagonal matrix:

                            A  square matrix is said to be diagonal when at least one element of principal diagonal is non zero and the other all elements may or may not be zero be zero.For diagonal matrix it is important that the matrix is square matrix.

Foe example:

null or zero matrix:

                                      A matrix is said to be null or zero matrix if all the elements of the matrix are zero.

For example;

Scalar matrix:

                            A diagonal matrix is said to be scalar if the diagonal elements are the same.

For example:

Unit or Identical matrix:

                                               A matrix is said to be unit or identical matrix when it principal diagonal elements are equal to 1.

For example:

Comments

Post a Comment

Popular posts from this blog

What is Greatest integer function and frictional part.

-
Greatest integer function:                                                   The greatest integer function is a real number  x, denoted by [x] is the largest integer less than or equal to x. The equation of the greatest integer function is:                                         [x] ≦ x < [x] + 1 For example: x= 5.6 Then the greater integer function of x is. [x]=[5.6]=5 Lets do a proof. Show that if n is an integer than [x+n]=n+[x],where x is a real number. solution: proof      Let [x]=m, so m is an integer  this implies that,      m ≦  x < m + 1 now adding n to the inequality we get.     m + n ≦ x +n < m + n +1 This shows that m + n is the largest integer less than or equal to x + n,    [x + n]=m + n               as , m=[x] so,  [x + n]= [x] + n Fractional part:             The fractional part of a real number x,denoted by {x}, is the difference  of  x - [x], Where [x] is the greater integer function. For example: the fri
Read more

Difference between Micro economic and Macro economics.

-
Image
Difference between Micro economic and Macro economics. Macro economics.                               Macro economics looks at the economy as a whole or its major components of the economy.     For example:All consumers,Federal government,US economy Micro economics.                               Micro economics focuses on a specific economic unit.      For example: An individual household,firm or industry. Both individual and society face economic problems. Because They need to make choices because wants exceed needs. Example of economic problems faced by individual's and society's. Individual's economic problems. The budget line Society's economic problems. land. labor. capital. Entrepreneurial Ability.  FOR More information. visit YouTube.  https://youtu.be/VbAPerjhcR4 https://youtu.be/2ILYtQ_sHB4        
Read more

How to multiply,add and subtract two matrices.

-
Matrices Multiplication.                                             Matrix multiplication is done in a very easy manner.In matrix multiplication we multiply the rows of the first matrix with the column of the second matrix.It is very important that the number of columns in the first matrix should be equal to the number of rows in the second matrix. Matrix addition:                        In matrix addition we add the first element of the first matrix with the first element of the second matrix,the second element of first with the second of the second and in the same manner we add the same position elements each other. Matrix subtraction:                                 Subtraction is also done in the same way as the addition is done.
Read more