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### Q.) Is abstract algebra the same as linear algebra ?

Answer : – Linear algebra uses a lot of concepts from abstract algebra: fields, permutations, the ring of polynomials, vector spaces, abelian groups. Not so much the other way round IIRC, you should be fine taking them together. It depends, abstract algebra draws a lot of examples of groups, rings, fields etc.

### Q.) Is abstract algebra harder than linear algebra ?

Answer : – Linear algebra is easier than elementary calculus. Linear algebra is a part of abstract algebra in vector space. However, it is more concrete with matrices, hence less abstract and easier to understand.

### Q.) Is linear algebra part of algebra ?

Answer : – Linear algebra is a branch of mathematics, but the truth of it is that linear algebra is the mathematics of data. Matrices and vectors are the language of data. Linear algebra is about linear combinations.

### Q.) Why is linear algebra so abstract ?

Answer : – Linear algebra arose as a set of common techniques that apply to problems in very diverse areas of mathematics, and only by an abstract formulation can one express them in such a way that they can be applied whereever needed, without having to reformulate them in each concrete situation.

### Q.) Why it is called abstract algebra ?

Answer : – The term abstract algebra was coined in the early 20th century to distinguish this area of study from older parts of algebra, and more specifically from elementary algebra, the use of variables to represent numbers in computation and reasoning.

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