Let M be a 6 times 6 matrix with columns M1 M6 Let N be an i

Let M be a 6 times 6 matrix with columns [M_1,..., M_6]. Let N be an invertible 6 times 6 matrix such that NM = [1 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 5 3 4 0 0 0 0 0 0 1 0 0] Answer the following questions, with brief justification: Which of the following lists are bases for the column space of M? [M_1, M_2, M_3, M_4, M_5, M_6] [M_2, M_3, M_4, M_6] [M_1, M_3, M_4, M_6] [M_1, M_3, M_5, M_6] [M_2, M_4, M_6] Find a basis for the row space of M. Describe, in terms of N, a matrix Q such that the nullspace of Q is the column space of M.

Solution

to answers the questions we need M matrix