let A and B are the matrix of the same order which of the following properties is always true
Answers
Answer:
As far as linear algebra is concerned, the two most important operations with vectors are vector addition [adding two (or more) vectors] and scalar multiplication (multiplying a vectro by a scalar). Analogous operations are defined for matrices.
Step-by-step explanation:
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Answer:
A + B Equals B + A if A and B are square matrices with the same order. The law of commutative addition is this. Any matrix will satisfy this condition, but the order must match.
step-by-step explanation:
Commutative law in arithmetic refers to one of two multiplying and adding of numbers principles that are includes a considerable as a + b = b + a and ab = ba. According to these rules, changing the order of any finite addition's terms or elements has no impact on the addition's results.
There are some procedures in which commutativity is not appropriate, such as the systems of n n matrices or the systems of equations, even if it is okay for some systems, such as the complex and real integers. The combination of two scalars is commutative, but not the multiple of vectors. The commutative law might not always be applicable when possibly converging series are combined.
Commutative law is the principle that the outcome of an adding or multiplying operation consistently has the same value, regardless of how the two digits are arranged. Or, we may say that the sequencing in which we add or multiply any two real numbers has no bearing on the result.
If A & B are 2 actual values, then this law applies.
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