is the multiplication of matrix competitive or noncommutative?
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Matrix multiplication is not commutative
In other words, in matrix multiplication, the order in which two matrices are multiplied matters!
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In mathematics, particularly in linear algebra, matrix multiplication is a binary operation that produces a matrix from two matrices. For matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix. The resulting matrix, known as the matrix product, has the number of rows of the first and the number of columns of the second matrix. The product of matrices {\displaystyle A}A and {\displaystyle B}B is then denoted simply as {\displaystyle AB}AB.[1][2]
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