For the following exercises, use the matrices below to perform the indicated operation if possible. If not possible, explain why the operation cannot be performed. A = [ 2 − 5 6 7 ] , B = [ − 9 6 − 4 2 ] , C = [ 0 9 7 1 ] , D = [ − 8 7 − 5 4 3 2 0 9 2 ] , E = [ 4 5 3 7 − 6 − 5 1 0 9 ] 24. A + B − C
For the following exercises, use the matrices below to perform the indicated operation if possible. If not possible, explain why the operation cannot be performed. A = [ 2 − 5 6 7 ] , B = [ − 9 6 − 4 2 ] , C = [ 0 9 7 1 ] , D = [ − 8 7 − 5 4 3 2 0 9 2 ] , E = [ 4 5 3 7 − 6 − 5 1 0 9 ] 24. A + B − C
For the following exercises, use the matrices below to perform the indicated operation if possible. If not possible, explain why the operation cannot be performed.
Assume {u1, U2, us} spans R³.
Select the best statement.
A. {U1, U2, us, u4} spans R³ unless u is the zero vector.
B. {U1, U2, us, u4} always spans R³.
C. {U1, U2, us, u4} spans R³ unless u is a scalar multiple of another vector in the set.
D. We do not have sufficient information to determine if {u₁, u2, 43, 114} spans R³.
OE. {U1, U2, 3, 4} never spans R³.
F. none of the above
Assume {u1, U2, 13, 14} spans R³.
Select the best statement.
A. {U1, U2, u3} never spans R³ since it is a proper subset of a spanning set.
B. {U1, U2, u3} spans R³ unless one of the vectors is the zero vector.
C. {u1, U2, us} spans R³ unless one of the vectors is a scalar multiple of another vector in the set.
D. {U1, U2, us} always spans R³.
E. {U1, U2, u3} may, but does not have to, span R³.
F. none of the above
Let H = span {u, v}. For each of the following sets of vectors determine whether H is a line or a plane.
Select an Answer
u =
3
1.
-10
8-8
-2
,v=
5
Select an Answer
-2
u =
3
4
2.
+
9
,v=
6
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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