Question: a. Define a Python function v, which on the input of a positive integer n, returns the n X n Vandermonde matrix V=11 x3 x

a. Define a Python function v, which on the input of a positive integer n, returns the n X n Vandermonde matrix V=11 x3 x x3. Znz2 xn-1 as a Sage matrix over the ring of symbolic expressions. Note that this will require you to define n symbolic variables inside the function v. In [ J: def V(n): # your code goes here 4b. Write Sage code to check the identity det V) 11 (z-z. ) Kikjsn for the n X n Vandermonde matrices where n 2,3, 4, and 5. In 1: a. Define a Python function v, which on the input of a positive integer n, returns the n X n Vandermonde matrix V=11 x3 x x3. Znz2 xn-1 as a Sage matrix over the ring of symbolic expressions. Note that this will require you to define n symbolic variables inside the function v. In [ J: def V(n): # your code goes here 4b. Write Sage code to check the identity det V) 11 (z-z. ) Kikjsn for the n X n Vandermonde matrices where n 2,3, 4, and 5. In 1
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