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Let T1091) be the linear transformation that rotates any vector in R3 through an angle 01 in a right-handed sense about the ml-axis (so if your right thumb points along the positive gal-axis, the rotation is in the direction that your ngers curl). It will have matrix 1 0 0 T1091) 2 0 cos 01 sin 01 0 sin 61 cos 61 And similarly we also have rotation along the 3:2 axis: cos 92 0 sin 92 T2 (92) = 0 1 0 sin 62 0 cos 62 and nally along the 3:3 axis: cos 93 sin 63 0 T3(93) = Sill 93 COS 93 0 0 0 l 3. Let V be a vector space with dim V = 5. Fix two linearly independent vectors u, v E V [5 and set B = {u, v}. Define W := span B Determine which of the following statements are true/false. Circle the answer that best applies (you don't have to give justification). (a) W is a subspace of V. True False (b) W is a subspace of IR5. True False (c) W is a 2-dimensional subspace of V. True False (d) W is a subspace of R2. True False (e) 0 E W (where 0 denotes the zero vector). True False