Linear Algebra - Mathematical Objects

• are often real numbers, but can be complex numbers or, more generally, elements of any field
• the word scalar comes from Latin and has a sense of changing the scale of something
• is a type of k-vector where k=0
• encodes magnitude ONLY

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• is an element of a vector space (𝑉,𝐹)
• is a (1,0)-tensor
• is a type of k-vector where k=1
• encodes position in the associated vector space
• encodes magnitude and direction

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• is a rectangular/squarearray of numbers, symbols, or expressions, arranged in rows and columns
• can represent a linear transformation if the space it transforming from and to are both finite-dimensional

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