Consider a linear transformation T from M2 to R3. Use T(?i) and T (?2) to describe the image of the unit square geometrically.
M303 Section 4.2 Notes- Null Spaces, Column Spaces, and Linear Maps 10-28-16 Matrices and linear maps give many examples of subspaces Null space of × matrix - denoted ; set of solutions to homogeneous equation = , notated = ℝ : = } o Set of all ℝ mapped into zero vector of ℝ via linear transformation = o Finding means solving = ; parametric vector form of solution gives spanning set to explicitly describe null space 1 −3 −2 o Ex. Let [ ]. Is = 5,3,2 in