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Check 0 vector, closed under addition, scalar multiplication
row(A)
RREF and nonzero rows
col(A)
RREF and original columns corresponding to pivot columns
null(A)
Solutions to Ax=0
rank(A)
number of pivots
nullity(A)
number of free variables
Linear Transformation
Check properties or find matrix
Standard Matrix
Apply T to e1, e2
Eigenvalues
det(A-&I)=0
Eigenspace
Solve (A-&I)x=0
Determinant
Square, triangular method