MTH 141 Chapter 4: ch 4
1 Jan 2016
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How to determine if a degree is in a span b. The rref is consistent and thus, 1+2x + 3x^2 + 4x^3 is in the span of b. A vector space over r is a set of v together with an operation of addition. (x + y) X an element of a vector space, a vector in a general vector space. This is different in vector spaces such as rn. Pn set of all polynomials of degree at most n, is a vector space with standard addition and scalar multiplication of polynomials. M(m,n) set of m x n matrices. m is the row, n is the addition. How to prove that s is a vector space (with standard addition and scalar multiplication) in r3. U of v non empty subset is a subspace of v if it satisfies the following two properties: x+y u is closed under addition tx u is closed under scalar multiplication ex.
