Solved: Which vector spaces are isomorphic to R6(a) M2,3

Chapter 6, Problem 56

(choose chapter or problem)

Which vector spaces are isomorphic to \(R^{6}\)?

(a) \(M_{2,3}\)

(b) \(P_{6}\)

(c) C[0, 6]

(d) \(M_{6,1}\)

(e) \(P_{5}\)

(f) C’[−3, 3]

(g) {\((x_{1}, x_{2}, x_{3}, 0, x_{5}, x_{6}, x_{7}): x_{i}\) is a real number}

Text Transcription:

R^6

M_2,3

P_6

M_6,1

P_5

(x_1, x_2, x_3, 0, x_5, x_6, x_7): x_i

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