Not necessarily.
and
may be linearly dependent, so that their span forms a subspace of
that does not contain every vector in
.
For example, we could have
and
. Any vector
of the form
, where
, is impossible to obtain as a linear combination of these
and
, since
unless
and
.
Answer:
x=2 and y=7
Step-by-step explanation:
Step: Solvey=2x+3for y:
y=2x+3
Step: Substitute2x+3foryiny=3x+1:
y=3x+1
2x+3=3x+1
2x+3+−3x=3x+1+−3x(Add -3x to both sides)
−x+3=1
−x+3+−3=1+−3(Add -3 to both sides)
−x=−2
−x
−1
=
−2
−1
(Divide both sides by -1)
x=2
Step: Substitute2forxiny=2x+3:
y=2x+3
y=(2)(2)+3
y=7(Simplify both sides of the equation)
I=prt,,5.00=.0125*1212p,,p=5.00/.0125*1212=?? Use the calculator
Answer:
Solution (7,1)
Step-by-step explanation:
Use the elimination method
x + y=8
x - y=6
--------------Add
2x = 14
x = 7
Substitute x = 7 into x + y=8
7 + y=8
y = 8 - 7
y = 1
Solution (7,1)
Answer: 2, 2, 13, 13
Step-by-step explanation: Prime number are numbers that can divide without remainder, This means that 676 is divisible by 2, 2, 13, 13, numbers.
