Linear Algebra Quiz

To determine the number of pivot columns in a matrix

To determine the solvability of a system of linear equations (correct)

To find the eigenvalues of a matrix

To evaluate the inverse of a matrix

Pivot columns and row echelon form of a matrix

Rank and nullity of a matrix

Scale factors and directions of a matrix transformation (correct)

Inverse and determinant of a matrix

To prove that every matrix is diagonalizable

To find the eigenvalues of a matrix

To find the determinant of a matrix

To express the powers of a matrix in terms of its eigenvalues (correct)

<p>Finding the inverse of a large matrix</p> Signup and view all the answers

<p>The rank of a matrix plus its nullity is equal to the number of columns</p> Signup and view all the answers