Tutors Answer Your Questions about Linear Algebra (FREE)
Question 1166343: 6 Let V = C[a, b] be the vector space of continuous functions on interval
[a, b]. Let W be the subset of functions in V such that:
(integralsign) from(a,b) f(x) dx = 0.
Is W a subspace of V ? You must justify your answer.
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Question 1165864: Kuttler, pg. 279, Ex. 5.2.8) Consider the following functions T : R3→ R2 . Show that each is a linear transformation and determine for each the matrix A such that
T (x) = A x.
T . (matrix3x1(x1, x2, x3) )= Matrix2x1(x1+2x2+3x3, 2x2−3x1+x3)
Click here to see answer by CPhill(2138) |
Question 1165604: Consider the following functions T : R → R . Show that each is a linear transformation and determine for each the matrix A such that T (x) = A x
a) x1. x1+2x2 +3x3
T x2. = 2x2-3x1+x3
¶ x3
b) x1. 7x1+2x2 +x3
T x2. = 3x1-11x2+2x3
¶ x3
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