Let A = [ 7 − 3 5 − 4 1 − 5 − 5 2 − 4 ] , v = [ 2 1 − 1 ] , and w = [ 7 6 − 3 ] . Suppose you know that the equations A x = v and A x = w are both consistent. What can you say about the equation A x = v + w ?
Let A = [ 7 − 3 5 − 4 1 − 5 − 5 2 − 4 ] , v = [ 2 1 − 1 ] , and w = [ 7 6 − 3 ] . Suppose you know that the equations A x = v and A x = w are both consistent. What can you say about the equation A x = v + w ?
Solution Summary: The author explains that the equation Ax=v+w is consistent. The column space of matrix A is a subspace of the vector space.
Let A =
[
7
−
3
5
−
4
1
−
5
−
5
2
−
4
]
, v =
[
2
1
−
1
]
, and w =
[
7
6
−
3
]
. Suppose you know that the equations Ax = v and Ax = w are both consistent. What can you say about the equation Ax = v + w?
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