Question: Linear Algebra: please show all your works Let {a, b, c, d, e} C RP (where p > 6) be a linearly independent set. Define

Linear Algebra: please show all your works

Let {a, b, c, d, e} C RP (where p > 6) be a linearly independent set. Define u, v, w, x, y, z by u = a+b+c-d+e, v = -a - b+ 2c+ 3d + 5e, w = b+ 4c+5d, x = 5a - 76 -9c - 11d + e, y = -1la - 23b + 73c + 53e, z = -121a - 33b + c+ d + 101e. Is the set {u, v, w, x, y, z} a linearly independent set? Explain without using any linear combinations or row reductions (row reduction doesn't make sense here anyway...)

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