Matrix Calculator
Calculate determinant, inverse, transpose, and matrix multiplication for 2x2 and 3x3 matrices
Frequently Asked Questions
What is a matrix determinant?
The determinant is a scalar value computed from a square matrix that describes certain properties of the matrix. For a 2x2 matrix [[a,b],[c,d]], the determinant is ad - bc.
When does a matrix have no inverse?
A matrix has no inverse (is singular) when its determinant equals zero. This means the rows or columns are linearly dependent.
What is a matrix transpose?
The transpose of a matrix is formed by swapping its rows and columns. Element at position (i,j) moves to position (j,i). The transpose of a 2x3 matrix is a 3x2 matrix.