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  2. Order of operations - Wikipedia

    en.wikipedia.org/wiki/Order_of_operations

    The order of operations, that is, the order in which the operations in an expression are usually performed, results from a convention adopted throughout mathematics, science, technology and many computer programming languages. It is summarized as: [2] [5] Parentheses; Exponentiation; Multiplication and division; Addition and subtraction

  3. Matrix multiplication - Wikipedia

    en.wikipedia.org/wiki/Matrix_multiplication

    An operation is commutative if, given two elements A and B such that the product is defined, then is also defined, and =. If A and B are matrices of respective sizes ⁠ m × n {\displaystyle m\times n} ⁠ and ⁠ p × q {\displaystyle p\times q} ⁠ , then A B {\displaystyle \mathbf {A} \mathbf {B} } is defined if ⁠ n = p {\displaystyle n=p ...

  4. Matrix (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Matrix_(mathematics)

    Familiar properties of numbers extend to these operations on matrices: for example, addition is commutative, that is, the matrix sum does not depend on the order of the summands: A + B = B + A. [9] The transpose is compatible with addition and scalar multiplication, as expressed by (cA) T = c(A T) and (A + B) T = A T + B T. Finally, (A T) T = A.

  5. Matrix chain multiplication - Wikipedia

    en.wikipedia.org/wiki/Matrix_chain_multiplication

    The matrix chain multiplication problem generalizes to solving a more abstract problem: given a linear sequence of objects, an associative binary operation on those objects, and a way to compute the cost of performing that operation on any two given objects (as well as all partial results), compute the minimum cost way to group the objects to ...

  6. Rotation matrix - Wikipedia

    en.wikipedia.org/wiki/Rotation_matrix

    The order of rotation operations is from right to left; the matrix adjacent to the column vector is the first to be applied, and then the one to the left. [ 3 ] Conversion from rotation matrix to axis–angle

  7. FOIL method - Wikipedia

    en.wikipedia.org/wiki/FOIL_method

    In elementary algebra, FOIL is a mnemonic for the standard method of multiplying two binomials [1] —hence the method may be referred to as the FOIL method.The word FOIL is an acronym for the four terms of the product:

  8. Multiplication - Wikipedia

    en.wikipedia.org/wiki/Multiplication

    Multiplication (often denoted by the cross symbol ×, by the mid-line dot operator ⋅, by juxtaposition, or, on computers, by an asterisk *) is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.

  9. Permutation - Wikipedia

    en.wikipedia.org/wiki/Permutation

    The group operation is the composition of functions (performing one rearrangement after the other), which results in another function (rearrangement). The properties of permutations do not depend on the nature of the elements being permuted, only on their number, so one often considers the standard set S = { 1 , 2 , … , n } {\displaystyle S ...

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