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Earn +20 ptsQ: What is performing addition subtraction and scalar multiplication of matrices?
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Are there Exceptions to the commutative property?
The commutative property works for adding and multiplying e.g. 2+4=4+2 and 3x4=4x3. But it doesn't work for subtraction and division so 5-3≠3-5 and 6÷2≠2÷6 so subtraction and division could be considered as exceptions.
Multiplication of 2x2 matrices is commutative?
No. Multiplication of matrices is, in general, non-commutative, due to the way multiplication is defined.
Can a matrix with dimensions of 4 X 5 be added to another matrix with dimensions of 5 X 3?
No. Matrix addition (or subtraction) is defined only for matrices of the same dimensions.
Multiplication of 2 X 2 matrices is commutative?
Sometimes . . A+
What are multiplication properties?
The answer depends on the context. For example, multiplication of numbers is commutative (A*B = B*A) but multiplication of matrices is not.
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