A Toeplitz matrix has constant values along the diagonals. The function

scipy. linalg.toeplitz creates a Toeplitz matrix from a given vector. For example:

Use the function numpy. linalg.matrix$\_$rank to compute the rank of a matrix

The nullspace of $M$ is denoted $N(M)$

The range of $M$ is denoted $R(M)$

Problem $1$a $(2$ marks$)$

Compute the dimensions of $N(M_1)$ and $R(M_1)$ for the matrix $M_1$ below. Save responses as

nullspace$\_$M$1$ and range$\_$M$1$ respectively.