Question: 3. (5 points) Let V be a vector space of all symmetric matrices of the size 2 x 2. Choose a basis in this space

3. (5 points) Let V be a vector space of all symmetric matrices of the size 2 x 2. Choose a basis in this space and find the matrix of the linear operator L with respect to this -1 2 basis if L( A) = 2 . A+ A. -1 2 2 2 2 Find the range and the kernel of the linear operator L. Find the Null space, the column space and the rank of the matrix of the operator L

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