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Flashcards for Linear Algebra

Vectors, matrices, eigenvalues, and transformations. Perfect for engineering and math students who need to master abstract concepts.

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Sample Linear Algebra Flashcards

Q

When is a matrix invertible?

A

A square matrix A is invertible if and only if det(A) is not zero, equivalently if its columns are linearly independent.

Q

What are eigenvalues?

A

Scalars lambda such that Av = lambda·v for some non-zero vector v (eigenvector).

Q

Define the rank of a matrix.

A

The dimension of the column space (or row space), equal to the number of pivot positions in row echelon form.

Linear Algebra Topics Covered

VectorsMatrix OperationsDeterminantsEigenvaluesVector SpacesLinear Transformations

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