Question: Answer the following questions and please write the process clearly. QUESTION 15 Consider the space defined by the set U={A ER5x51A = -AT} (i.e., the

Answer the following questions and please write the process clearly.

Answer the following questions and please write the process clearly. QUESTION 15

QUESTION 15 Consider the space defined by the set U={A ER5x51A = -AT} (i.e., the set of all real skew-symmetric matrices of size 5). What is the dimension of the space U? QUESTION 16 Let V=R3* 3 be the set of all real, square matrices of size 3. Let W be the set of all real, skew-symmetric matrices of size 3. (Recall: A skew- symmetric matrix M satisfies the condition M=- E-M7.) Then, W is a subspace of V. True O False

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