Write down a basis for and dimension of the linear function spaces (a) L(R3, R) (b) L(R2,

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Write down a basis for and dimension of the linear function spaces
(a) L(R3, R)
(b) L(R2, R2)
(c) L(Rm, Rn)
(d) L(P(3), R)
(e) L(P(2), R2)
(f) L(P(2), P(2))
Here P(n) is the space of polynomials of degree ≤ n.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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