What's the difference between algebra and linear algebra?
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Algebra is a very general term that includes a wide range of topic. Linear algebra is the study of vector spaces and linear mapping between those spaces. Abstract algebra deals with various abstract structure such as groups ,rings and fields , ...then do however from a ring
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Algebra is the branch of math focusing on equations with variables. Each equation is a complete sentence that can be directly translated into a colloquially spoken language such as English, Spanish or Hindi.
The beauty of a sentence that is translated into the language of algebra is that it can then be transformed using clearly defined properties and identities, such as the Order of Operations or the Identity, Associative, and Commutative Properties of Addition and Multiplication.
These transformed equations can answer questions and reveal new insights into the original statement.
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