Flashcard: Linear Algebra Essentials — 10 carte

Vector operations — fundamental?

Enable manipulation of vectors in space.

Vector — definition?

An ordered set of numbers representing space points or directions.

Matrix types — examples?

Square, diagonal, identity, symmetric, orthogonal.

Vector addition — operation?

Component-wise addition of two vectors.

Determinant — role?

Indicates invertibility and volume scaling.

Matrix — types?

Square, diagonal, identity, symmetric, orthogonal.

Determinant — purpose?

Measures matrix invertibility and volume scaling.

Linear system — solution?

Set of equations with unknowns, solvable systematically.

Eigenvalues, eigenvectors — role?

Describe matrix scaling effects in transformations.

Subspace — property?

A set closed under addition and scalar multiplication.