Matrix Calc
Matrix A (2x2)
Matrix Determinants (2x2 & 3x3)
Matrices are rectangular arrays of numbers used to solve systems of linear equations, transform geometric shapes, and more.
Calculating Determinants
2x2 Matrix
| a b |
| c d |
| c d |
det = (ad) - (bc)
3x3 Matrix
For a 3x3 matrix, we expand across the top row:
det = a(ei - fh) - b(di - fg) + c(dh - eg)
Why is the Determinant Important?
- If det = 0, the matrix is Singular (not invertible).
- It represents the scaling factor of the linear transformation described by the matrix.
FAQ
What is the Identity Matrix?
It is a square matrix with ones on the main diagonal and zeros elsewhere. Multiplying any matrix by the Identity Matrix leaves it unchanged.