50 1 0 0 1 0 1 0 1 0 0 0 0 0 0 10 1 0 0 1 1 0 Exercise 10 0

Last updated: 3/24/2023

50 1 0 0 1 0 1 0 1 0 0 0 0 0 0 10 1 0 0 1 1 0 Exercise 10 0 9 B level Consider the transpose matrix to the one above 50 and call it do Show that this matrix represents the linear map do R X R X which is induced by sending basis element 1 ej to the vector 1 p 1 Pi Exercise 10 0 10 C level Compute the determinant of 60 above What does this tell us about the kernel of 50 B12 B02 B01 to12 The matrix which is Similarly I can define a linear map 6 R x R X by Bij eij associated to this linear map is 6 1 1 1 0 0