Part 1: Find an explicit description of the null space of matrix A by listing vectors that span the null space. A [1 -2 -2 -5] -(13-1 0 1 3 2 = Part 2: Determine if the vector u is in the column space of matrix A and whether it is in the null space of A. "-²3-₁4 ·A=|- u = , A = 54 1 -3 4 -1 0-5 3 -3 *Please show all of your work for both parts. Thanks.

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.