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Let 𝑉 be the vector space of symmetric 2×2 matrices and 𝑊 be the subspace 𝑊=span{[4−5−50],[−2−5−51]}. a. Find a nonzero element 𝑋 in 𝑊.
Give a linear transformation from R2 to R2 that first reflects a point over the y-axis and then rotates it π/ 2 radians counterclockwise about the origin in two ways: (a) Find directly where this transformation sends the points (1, 0) and (0, 1). (b) By s
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