MATRIX MULTIPLICATION Meaning and
Definition
-
Matrix multiplication is a mathematical operation that combines two matrices to create a new matrix. It is an essential concept in linear algebra and has various applications in fields such as physics, computer science, and engineering. When performing 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 will have the same number of rows as the first matrix and the same number of columns as the second matrix.
The multiplication process involves taking each element from a row in the first matrix and multiplying it by its corresponding element in a column from the second matrix. These products are then summed together to form each element in the resulting matrix. This element-wise multiplication and subsequent summation are repeated for all rows and columns in the matrices until the final resulting matrix is formed.
Matrix multiplication is not commutative, meaning that the order in which the matrices are multiplied affects the result. In general, the resulting matrix will have different elements than either of the original matrices. This operation is particularly useful for solving systems of linear equations, transforming coordinate systems, and performing geometric transformations in computer graphics.
Common Misspellings for MATRIX MULTIPLICATION
- natrix multiplication
- katrix multiplication
- jatrix multiplication
- mztrix multiplication
- mstrix multiplication
- mwtrix multiplication
- mqtrix multiplication
- marrix multiplication
- mafrix multiplication
- magrix multiplication
- mayrix multiplication
- ma6rix multiplication
- ma5rix multiplication
- mateix multiplication
- matdix multiplication
- matfix multiplication
- mattix multiplication
- mat5ix multiplication
- mat4ix multiplication
Etymology of MATRIX MULTIPLICATION
The word "matrix" originates from the Latin word "matrix", which means "womb" or "breeding female". It was later adopted into Old English and referred to a "breeding female animal" or "matriarch".
The term "multiplication" comes from the Latin word "multiplicatio", which means "multiplication" or "increase". It comes from the verb "multiplicare", which combines "multi-" (meaning "many" or "multiple") and "plicare" (meaning "fold" or "twist").
When combined in the context of mathematics, "matrix multiplication" refers to the operation of multiplying matrices together. The term "multiplication" is used because it involves repeated addition and multiplication of matrix elements. The use of "matrix" in this context relates to the arrangement of numbers or variables in a rectangular array or grid.
