2. 9 marks Consider the m x n-matrix A and the vector ER" that are given by A = [aiz], = [bi] where Wij = (-2)i+j(i2 32), b; = (-2) for i = 1, ...m and j = 1,...,n. Note that aij is the entry of A at the i-th row and the j-th column. Consider the following condition on vectors TER": (Conditionl) Az . Write and run a python Jupyter notebook using the PuLP package, to check whether there is a vector Te R" that satisfies (Conditionl), when m = n = 10, and if it exists, find one. Submit the .pdf and .ipynb for the Jupyter notebook. [For credits, you must write a python Jupyter notebook to solve this problem.] Python Hint: Start with giving M=10 N=10