Is a space of $R^3$ 
2. Determine whether the three vectors
In $R^4$ are linearly independent. Can they form a basis of $R^4$? Why?
In $R^4$ are linearly independent. Can they form a basis of $R^4$? Why?
Determine whether the four vectors
In $R^4$ can span $R^4$. Can they form a basis of $R^4$? Why?
In $R^4$ can span $R^4$. Can they form a basis of $R^4$? Why?
4. Find the transition matrix from the basis $E$ of $R^4$
to the basis $F$ of $R^4$
to the basis $F$ of $R^4$
Find the rank of the $4 \times 5$ matrix
6. Find the matrix representing the linear transformation
with respect to the standard basis of $R^4$ and the following basis of $R^3$
with respect to the standard basis of $R^4$ and the following basis of $R^3$
7. Find the matrix representing the linear transformation
with respect to the standard basis of $R^4$.
with respect to the standard basis of $R^4$.
Log in or sign up to see discussion or post a question.