> ", thing is, Linear Algebra isn't matrix manipulation. Matrices are just one aspect of Linear Algebra - it's like saying that symbols such as 'x', 'y' and 'z' are 'Algebra.'"
Well, I see your point, but to many, x, y and z are algebra. When public schools teach solving strategies like substitution, polynomial factoring, or concepts like linear equations, series, and exponents, these are labeled "algebra" and are basic extensions of solving for some variable(s).
So it seems you are arguing that the public understanding of "Algebra" and a mathematician's understanding of "Algebra" are different. (And the same for "linear algebra".) ... because the public's understanding is based largely on a shared experience in public schools.
I'd be surprised if it weren't so, and I suspect the problem of a different interpretation of terms is the case in many fields.
Well, I see your point, but to many, x, y and z are algebra. When public schools teach solving strategies like substitution, polynomial factoring, or concepts like linear equations, series, and exponents, these are labeled "algebra" and are basic extensions of solving for some variable(s).
So it seems you are arguing that the public understanding of "Algebra" and a mathematician's understanding of "Algebra" are different. (And the same for "linear algebra".) ... because the public's understanding is based largely on a shared experience in public schools.
I'd be surprised if it weren't so, and I suspect the problem of a different interpretation of terms is the case in many fields.