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What is the condition for the addition of matrices?
The matrices must have the same dimensions.
Do all matrices have determinant?
Only square matrices have a determinant
What is the synonym of associative property?
There is no synonym for the associative properties.
How are associative and commutative proerties alike and different?
They are alike in so far as they are properties of binary operations on elements of sets. T The associative property states that order in which operations are evaluated does not affect the result, while the commutative property states that the order of the operands does not make a difference. Basic binary operators are addition, subtraction, multiplication, division, exponentiation, taking logarithms. Basic operands are numbers, vectors, matrices.
What does the word associative property of addition mean?
The order of the 3 numbers won't affect the product. Example: a+b+c=b+a+c* * * * *WRONG!The associative property states that the order in which the operation (of addition) is carried out does not matter.So, (a + b) + c = a + (b + c) and so either can be written as a + b + c without ambiguity.To change the order of the summands required commutativity.For example:Multiplication is also associative and, in the case of matrices,(A * B) * C = A * (B * C) = A * B * CBut B * A need not even exist!Associative property states that the change in grouping of three or more addends or factors does not change their sum or product.
