What is matrix

What is Matrix

Table of contents

 Definition of matrix
 Addition of matrix
 Subtraction of matrix
 Multiplication of matrix

 Division of matrix

 A table of numbers is called a matrix.

   This is a table of numbers.  The same table is called a matrix.

 Addition of matrix

Let us add a number with the same term in another matrix.



 We will have to add numbers of equal position to interconnect these two matrices.  The matrix that will be formed from this will be our answer.

 Subtraction of matrix

 The numbers that are in the same position have to be reduced.

 As you can see above, here we have subtracted the numbers of equal position so that the matrix that has come to us will be the matrix answer.  As we can see in the first matrix, the first number in it is -1 and the first number in the second matrix is ​​3.  If we reduce them, we will get -4.  When doing this with all numbers, the matrix that will be formed will be the answer.

 Multiplication of matrix

 A matrix is ​​folded in two ways.  First either we multiply the entire matrix by one number or we multiply one matrix by another matrix.

 Multiplying the Matrix by a Number





 As you can see in the picture above, here we have multiplied a matrix by the number 2.  When we multiply an entire matrix by the same number, we multiply every number of that matrix by 2.  You can see above that we multiplied each number by 2, so we got a new matrix.


 As mentioned above, multiplying a matrix by another matrix is ​​more complicated and complex than multiplying a matrix by a number.  So we have to do this very carefully.  When we multiply a matrix with another matrix:



 We have two matrices as you can see above.  We have to multiply these.  There is a condition of multiplying the matrix that the column of the first matrix and the number of rows in the second matrix must be equal.  As we can see above, the first matrix has 3 columns and the second matrix has 3 rows.




 After that we will multiply the numbers in the first row of the first matrix by the numbers in the second column of the second matrix.



 Similarly, we will keep multiplying the rows and columns and the matrix that comes after this will be the answer.

 Division of matrix

 We do not divide the matrix but multiply it by the inverse.

 Suppose we have to divide A in B.  We will not actually divide by this, but multiply A by 1 / B.