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1. Let V={X [itex]\in[/itex] R

..........................(3 4) ..... (0)

Show that V is a subspace of R^2 with the usual operations. What is the dimension of V

2. Homework Equations

3. I am really kind of lost, the statement seems to make no sense. X is in R but it also = the matrix [1 2, 3 4] but also equals the matrix [0,0]?

Is v not a subspace of R^2 because it equals the zero vector? Thanks for the help.

^{2}: (1 2) X= (0)}..........................(3 4) ..... (0)

Show that V is a subspace of R^2 with the usual operations. What is the dimension of V

2. Homework Equations

3. I am really kind of lost, the statement seems to make no sense. X is in R but it also = the matrix [1 2, 3 4] but also equals the matrix [0,0]?

Is v not a subspace of R^2 because it equals the zero vector? Thanks for the help.

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