Exercise 12 − 19 refer to the vector in Eq.(15). v = [ 1 2 0 ] , w = [ 0 − 1 1 ] , x = [ 1 1 − 1 ] , y = [ − 2 − 2 2 ] , z = [ 1 0 2 ] In Exercise 12 − 19 , either show that Sp ( S ) = R 3 or give an algebraic specification for Sp ( S ) . If Sp ( S ) ≠ R 3 then give a geometric description of Sp ( S ) . S = { w, x, z }
Exercise 12 − 19 refer to the vector in Eq.(15). v = [ 1 2 0 ] , w = [ 0 − 1 1 ] , x = [ 1 1 − 1 ] , y = [ − 2 − 2 2 ] , z = [ 1 0 2 ] In Exercise 12 − 19 , either show that Sp ( S ) = R 3 or give an algebraic specification for Sp ( S ) . If Sp ( S ) ≠ R 3 then give a geometric description of Sp ( S ) . S = { w, x, z }
Solution Summary: The author explains how the condition Sp(S)=TextR Text3 is proved.
In Exercise
12
−
19
, either show that
Sp
(
S
)
=
R
3
or give an algebraic specification for
Sp
(
S
)
. If
Sp
(
S
)
≠
R
3
then give a geometric description of
Sp
(
S
)
.
S
=
{
w, x, z
}
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY