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# Is matrix multiplication commutative or associative?

**Matrix multiplication is associative.** The associative law states that the way numbers are grouped does not matter and that the sum or product obtained will be the same.

The commutative law of multiplication does not apply to matrices. The commutative law states that the order of numbers can be changed without changing the answer. A matrix is an array of numbers. Matrix multiplication is done using the "dot product" method. After obtaining the products of matching members in each row and column, they are all summed up. Since matrix multiplication is not commutative, if the order of multiplication is changed, the answer is different.

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## How can you use partial product multiplication to solve two-by-two multiplication problems?

A: To perform partial product multiplication, you use the distributive property of numbers, multiplying each digit of a number by each digit of the other numb... Full Answer >Filed Under: -
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## What are partial product multiplication algorithms?

A: A partial product multiplication algorithm is the process in which each part of one number is multiplied by each part of another number, after which the pr... Full Answer >Filed Under: -
Q:
## What is the answer to a multiplication problem called?

A: The solution to a multiplication problem is called the "product." For example, the product of 2 and 3 is 6. When the word "product" appears in a mathematic... Full Answer >Filed Under: -
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## What are some tips for learning multiplication tables?

A: Tips for learning multiplication tables include Skip Counting, which students can use to multiply any numbers. Students can learn two- and four-fact famili... Full Answer >Filed Under: