Question: Please refer to the question below. Note: This is all that the question comes with! Question 3 (3pts). Consider the vector space U of all

Please refer to the question below. Note: This is all that the question comes with!

Please refer to the question below. Note: This is all that the

Question 3 (3pts). Consider the vector space U of all skew-symmetric matrices in M33, i.e. all 3 X 3-mtriccs A such that A = AT. Which of the following vector spaces is U isomorphic to? In each case you either need to prove that U is not isomorphic to the corresponding vector space or construct an isomorplsm from that vector space to U. a The space R2. 0 The space P2 of a1] polynomials of degree 3 2. o The space M23 of 2 x 2matrices

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