Transcribed Image Text:Problem Statement
A magic square of size m is an m by m square matrix whose entries consist of all integers
between 1 and m?, with the property that the sum of the entries of each column and
row is the same. The sum of the entries of any row or column of a magic square of size m
is m(m²+1)/2
Lets take a magic square of size m = 2:
X1 X2
X3 X4
Make 4 equations by using above properties for sum of two rows and two columns.
Use X1, X2, X3, X4 as unknowns (variables). Get the echlon/reduced echlon form
(whichever you want ot use) to attain general solution.
Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.
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