[理工] 線代 TorF
1.A linear transformation is onto if and only if the column of its standard
matrix span its range.-------------------F
2.The ptoduct of square matrices is always defined.---------------F
3.The pivot columns of the reduced row echelon form of A form a basis for
the column space of A.-------------F
4.Every square matrix has a complex eigenvalue.----------T
為什麼?
5.Let W be a two-dimensional subspace of R^3. The orthogonal projection
operator onto W is onto.---------------F
6.For a given set of data plotted in the xy-plane,the least-squares line is
the unique line in the plane that minimizes the sum of the vertical distan-
ces from the data points to the line.---------F
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