CDNS 2210 Study Guide - Final Guide: Modernism, Performativity, Ceri Morgan

Find a basis for the null space of each of the following matrices. [1 0 0 1 0 1] [1 1 0 1 1 0] [1 1 0 1 1 1]

Let T: R3 rightarrow R2 be the linear transformation that has the matrix relative to the bases {(1, 2, 0), (1, 1, 1), (1, 1, 0)} of R3 and {(1, 1), (1, -1)} of R2. Find the matrix of T relative to the bases {(2, 3, 0), (1, 1, 1), (2, 3, 1)} of R3 and {(3, -1), (1, -1)} of R2.

A = [1 0 0 -1 1 0 1 1 1] Find the inverse of the matrix. [1 1 4 4]