Matrix multiplication
In mathematics and linear algebra, matrix multiplication is multiplying two matrices together. The number of columns in the first matrix must be equal to the number of rows in the second matrix. The product of two matrices and is written as
To multiply two matrices, the rows of the first matrices are multiplied with the columns of the second. Then, the products are summed to make the entry in the product.
Matrix multiplication is associative, but not commutative.[1]
Related pages
References
- ↑ Weisstein, Eric W. "Matrix Multiplication". mathworld.wolfram.com. Retrieved 23 September 2023.
Abstract As a useful and somewhat less-taxing interlude, matrices and basic matrix arithmetic are introduced. Matrices can be multiplied by scalars and matrices of the same size can be added and subtracted. Matrix multiplication is a bit trickier. The product of matrices AB can be computed if the number of columns of A equals the number of rows of B. A key concept is that matrix multiplication is not commutative. Matrices are an important topic generally, being indispensable for the deeper study of mathematics, statistics, computer science, and all social and natural sciences. As preparation for Chapter 8, 2 × 2 matrices are studied along with their determinant and inverse.
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