MathAlgebraLinear algebraLinear operators

Linear subspaces

Choose subspaces

Report a typo

Which of the following are subspaces of $\mathbb{R}^3$ ?

1) all vectors of the form $\begin{pmatrix} x \\ 0 \\ 0 \end{pmatrix}$ ;

2) all vectors of the form $\begin{pmatrix} x \\ 1 \\ 1 \end{pmatrix}$ ;

3) all vectors of the form $\begin{pmatrix} x \\ y \\ z \end{pmatrix}, y = x + z$ ;

4) all vectors of the form $\begin{pmatrix} x \\ y \\ z \end{pmatrix}, y = x + z + 1$

Select one or more options from the list

___

Create a free account to access the full topic