A 2×2 matrix is a way of moving the whole plane. Its first column is where î = (1, 0) lands and its second is where ĵ = (0, 1) lands; every other vector is a mix of î and ĵ, so it lands on the same mix of their images.
A 2×2 matrix is a way of moving the whole plane. Its first column is where î = (1, 0) lands and its second is where ĵ = (0, 1) lands; every other vector is a mix of î and ĵ, so it lands on the same mix of their images.