If B₁, B₂, and B₃ are all bases for a given subspace, A is the change of basis matrix from B₁ to B₂, and B is the change of basis matrix from B₂ to B₃, then the change of basis matrix from B₁ to B₃ is given by BA.

Question

Quizplus · Accepted Answer

The change of basis matrix from B₁ to B₃ can be obtained by combining the change of basis matrices from B₁ to B₂ and from B₂ to B₃, i.e., BA.

If B1, B2, and B3 Are All Bases for a Given

If B₁, B₂, and B₃ Are All Bases for a Given