How to find eigenvectors of a 2x2 matrix?
Answers
A 2X2 matrix is a tool that is used to help scaffold a conversation about insights and findings. Designers create a 2X2 matrix with opposing characteristics on each end of the spectrum (ie. cheap vs expensive see examples above). Then they sort their ideas/insights according to where they fall along the spectrum.
To work out the determinant of a 3×3 matrix: Multiply a by the determinant of the 2×2 matrix that is not in a's row or column. Likewise for b, and for c.
The first is the inverse of the second, and vice-versa. Not all 2 × 2 matrices have an inverse matrix. If the determinant of the matrix is zero, then it will not have an inverse; the matrix is then said to be singular. Only non-singular matrices have inverses.
To find the inverse of a 2x2 matrix: swap the positions of a and d, put negatives in front of b and c, and divide everything by the determinant (ad-bc).