The matrices must have the same dimensions.
Only square matrices have a determinant
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.
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.
There are no matrices in the question!
All matrix multiplications are associative Always .. .A+
always
always
Commutative law: The order of the operands doesn't change the result. For example, 4 + 3 = 3 + 4. Associative: (1 + 2) + 3 = 1 + (2 + 3) - it doesn't matter which addition you do first. Both laws are valid for addition, and for multiplication (as these are usually defined, with numbers. However, special "multiplications" have been defined that are not associative, or not commutative - for example, the cross product of vectors, or multiplication of matrices are not commutative.
Only square matrices have inverses.
how is matrices is applicable in our life?
The singular form of matrices is matrix.
The matrices must have the same dimensions.
Only square matrices have a determinant
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.
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.
There are no matrices in the question!