Linear Transformations, Change of Basis and Conjugation
Let V = Q3 and let ' be the linear transformation from V to itself:
'(x, y, z) = (9x + 4y + 5z,−4x − 3z,−6x − 4y − 2z), x, y, z E Q
With respect to the standard basis B find the matrix representing this linear transformation.
Take the basis E = {(2,−1,−2), (1, 0,−1), (3,−2,−2)} = {ei} for V and find the matrix representing ' with respect to this basis, i.e. MEE ('). Find the matrix P that conjugates... into ...
Attachments
Solution Summary
Linear Transformations, Change of Basis and Conjugation are investigated. The solution is detailed and well presented.
$2.19