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Matrices
In mathematics, a matrix (plural matrices) is a rectangular array or table (see irregular matrix) of numbers, symbols, or expressions, arranged in rows.
Edited at 2020-10-10 07:28:45- Mind Map Kingdom
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Mind maps are useful in constructing strategies. They provide the flexibility of being creative, along with the structure of a plan.
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Matrices
- Mind Map Kingdom
Mind maps are a great resource to help you study. A mind map can take complex topics like plant kingdom and illustrate them into simple points, as shown above.
- Team Communication Strategies
Mind maps are useful in constructing strategies. They provide the flexibility of being creative, along with the structure of a plan.
- Types of Vitamins
Vitamins and minerals are essential elements of a well-balanced meal plan. They help in ensuring that the body is properly nourished. A mind map can be used to map out the different vitamins a person requires.
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Matrices
Matrix concept
The main and abstract context is that it is a certain quantity of numbers arranged in a rectangle with certain numbre of rows and columns.
Types of Matrices
Rectangular: arranged as nxm.
Squared arranged as n=m rows and columns. They have symmetry and asymmetry.
Complex: Imaginary matrix. Real: with real numbers.
Operations with matrices
Addition and Substraction: They can just be done with matrices of same dimension, and so you just add or subtract the numbers in the same position.
Multiplication: When multiplying times a number multiply each number of the matrix time the number. When multiplying times another matrix the other matrix has to have the same numbers of rows as the other columns.
Equality: Two matrices A and B of same order mxn are said to be equal if and only if all of their componentsare equal.
Transposition: The columns and rows are changed and that is the transposition.
Scalar multiplication: You multiply every component by the scalar c , mathematically it is written c A d=ef [cai j ] , Division of a matrix by a nonzero scalar c is equivalent tomultiplication by (1/c).
Matrix by Vector product: you multiply as if the matrix was turned to the right, and then add as it is.
Rows of A are multiplied with columns of B and so you obtain C matrix result, that is nxp, because one is mxn and the other nxp.