9 construct matrix the required property or explain why you can t 1 column space contains 6 row space contains 2 h 2 column space has basis 2 nullspace has basis 3 3 dimension of nullspace1 22319

Column Space and Nullspace | Linear Algebra | Mathematics | MIT OpenCourseWare

Construct a matrix with the required property or say why that is impossible. (a) Column space contains [ 1 2 -3] and [ 2 -3 5], nullspace contains [ 1 1 1]. (b) Row space contains [ 1 2 -3] and [ 2 -3 5], nullspace contains [ 1 1 1]. (c) A x=[ 1 1 1] has a solution and A^T[ 1 0 0]=[ 0 0 0]. (d) Every row is orthogonal to every column ( A is not the zero matrix). (e) The columns ad