Engineering Mathematics · topic
Matrix operations and special matrices (symmetric, skew-symmetric, orthogonal, idempotent, nilpotent, triangular); determinant properties, cofactors, adjugate and inverse; rank by row reduction and the rank rules for products, sums and transposes.
A matrix is a rectangular array of numbers. Matrices represent linear maps, systems of linear equations, graphs (adjacency matrices) and transformations in graphics. Later topics in linear algebra (determinants, rank, eigenvalues, LU decomposition) build on these operations and special types.
The determinant is a single number attached to a square matrix. It tells whether the matrix is invertible (non-zero determinant), how the linear map scales area or volume, and, through the characteristic polynomial, what the eigenvalues are.
One-page visual sheets for this topic, in the sheet library on the store. Previews are free; the full sheets come with the subject pack.
