Question

If the entries in rows of a latin square are same as its columns, the latin square is called

Answer 1

Answer:

In combinatorics and in experimental design, a Latin square is an n × n array filled with n different symbols, each occurring exactly once in each row and exactly once in each column.

Answer 2

Orthogonal

If the entries in rows of a latin square are same as its columns, the latin square is called Orthogonal.

• If, when superimposed, the ordered paired entries in the positions are all distinct, two Latin squares of the same size (order) are said to be orthogonal. A group of Latin squares that are all in the same order and whose orthogonal pairs all exist is referred to as a set of mutually orthogonal Latin squares.
• The development of different designs for agricultural, medical, and other research, as well as conducting trials to find the best combination of many aspects in a product to maximize production, can be done using orthogonal arrays, a flexible class of combinational arrangements.
• Every time, the orthogonal matrix is symmetric. Thus, the orthogonal matrix is a property of all identity matrices. An orthogonal matrices will also result from the product of two orthogonal matrices. The orthogonal matrix will likewise have a transpose that is orthogonal.

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