Change of Matrix

Suppose you have two bases of the same space and the matrix of a linear transformation with respect to one bases. In this video, I show how to find the matrix of the same transformation with respect to the other basis, without ever having to figure out what the linear transformation does! How neat is that?

Change of coordinates (prequel): Change of coordinates

Check out my Linear Transformations playlist: Linear Transformations

• #education
• #change_of_coordinates
• #change
• #coordinates_matrix
• #change_of_coords
• #linear_algebra
• #peyam
• #dr_peyam
• #blackpenredpen
• #bprp
• #calculus
• #tutorial
• #math
• #coordinates
• #coordinate_vector
• #pdp_1
• #inverse
• #vector_space
• #abstract_coordinates
• #beta_to_beta
• #friedberg
• #chapter_2
• #section_25
• #qdq_1
• #similar
• #matrix
• #matrices
• #similar_matrices
• #change_of_basis
• #jacobian
• #change_of_matrix
• #find_matrix_with_new_basis
• #matrix_with_respect_to_basis