![linear algebra - Are the vectors that form a basis for the null space of $A$ always linearly independent with the vectors that form the basis for the row space of $A$? - linear algebra - Are the vectors that form a basis for the null space of $A$ always linearly independent with the vectors that form the basis for the row space of $A$? -](https://i.stack.imgur.com/Rj5Uq.png)
linear algebra - Are the vectors that form a basis for the null space of $A$ always linearly independent with the vectors that form the basis for the row space of $A$? -
![linear algebra - Is this an Alternative Proof of a set of vectors forming a basis? - Mathematics Stack Exchange linear algebra - Is this an Alternative Proof of a set of vectors forming a basis? - Mathematics Stack Exchange](https://i.stack.imgur.com/R97Ai.jpg)
linear algebra - Is this an Alternative Proof of a set of vectors forming a basis? - Mathematics Stack Exchange
![SOLVED: Determine whether(1,1,1,1),(1,2,3,2),(2,5,6,4),(2,6,8,5) form a basis of R^4(R). If not, find the dimension of the subspace they span. SOLVED: Determine whether(1,1,1,1),(1,2,3,2),(2,5,6,4),(2,6,8,5) form a basis of R^4(R). If not, find the dimension of the subspace they span.](https://cdn.numerade.com/ask_previews/84a1aebf-74b8-4137-ad0c-bd17e8429745_large.jpg)
SOLVED: Determine whether(1,1,1,1),(1,2,3,2),(2,5,6,4),(2,6,8,5) form a basis of R^4(R). If not, find the dimension of the subspace they span.
![SOLVED: Do the given vectors form a basis of R2? Answer yes or no with justification. V1 = (4,7). V2 = (5,6). Determine whether the given vectors are form a basis of SOLVED: Do the given vectors form a basis of R2? Answer yes or no with justification. V1 = (4,7). V2 = (5,6). Determine whether the given vectors are form a basis of](https://cdn.numerade.com/ask_images/7dde21f9057f40c4a190e0da68f46c8f.jpg)