Let m be the real 5*5 matrix having all of its entries are equal to 1 ...
Properties of Matrix m:
Size of Matrix:
Matrix m is a 5x5 matrix, meaning it has 5 rows and 5 columns.
Entries of Matrix:
All entries of matrix m are equal to 1. This means that every element in matrix m is 1.
Representation of Matrix m:
Matrix m can be represented as follows:
m = [1 1 1 1 1]
[1 1 1 1 1]
[1 1 1 1 1]
[1 1 1 1 1]
[1 1 1 1 1]
Explanation:
Size of Matrix:
The given information states that matrix m is a 5x5 matrix. This means that matrix m has 5 rows and 5 columns, resulting in a total of 25 elements.
Entries of Matrix:
The given information also states that all entries of matrix m are equal to 1. This means that every element in matrix m is 1. In the representation of matrix m above, all elements are indeed 1.
Visualization:
To visualize matrix m, we can think of it as a grid with 5 rows and 5 columns. Each cell in the grid represents an element of the matrix, and since all elements are 1, every cell in the grid will contain the number 1.
Example:
For example, the element in the first row and second column of matrix m can be represented as m[1][2] = 1. Similarly, the element in the fourth row and third column can be represented as m[4][3] = 1.
Summary:
In summary, matrix m is a 5x5 matrix with all entries equal to 1. It can be represented as a grid where each cell contains the number 1. The matrix has a total of 25 elements, and every element is equal to 1.