In Exercises 1 through 18, determine whether the vector x → is in the span V of the vectors v → 1 , ... , v → m (proceed “by inspection” if possible, and use the reduced row-echelon form if necessary). If x → is in V, find the coordinates of x → with respect to the basis = ( v → 1 , ... , v → m ) of V, and write the coordinate vector 11. x → = [ − 1 2 2 ] ; v → 1 = [ 1 2 1 ] , v → 2 = [ − 3 2 3 ]
In Exercises 1 through 18, determine whether the vector x → is in the span V of the vectors v → 1 , ... , v → m (proceed “by inspection” if possible, and use the reduced row-echelon form if necessary). If x → is in V, find the coordinates of x → with respect to the basis = ( v → 1 , ... , v → m ) of V, and write the coordinate vector 11. x → = [ − 1 2 2 ] ; v → 1 = [ 1 2 1 ] , v → 2 = [ − 3 2 3 ]
Solution Summary: The author explains that the given vectors are in linear span if it can be written as a linear combination of v_1 and
In Exercises 1 through 18, determine whether the vector
x
→
is in the span V of the vectors
v
→
1
,
...
,
v
→
m
(proceed “by inspection” if possible, and use the reduced row-echelon form if necessary). If
x
→
is in V, find the coordinates of
x
→
with respect to the basis
=
(
v
→
1
,
...
,
v
→
m
)
of V, and write the coordinate vector
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.
Question 14 (1 point)
Listen
The frame on a picture is 18 in by 22 in outside and is of uniform width. Using
algebraic methods, what is the width of the frame if the inner area of the picture
shown is 250 in²2? Write answer to 2 decimal places. (Write the number with no
units).
18 in
Your Answer:
22 in
◄ Listen
A vacant lot is being converted into a community garden. The garden and a walkway
around its perimeter have an area of 560 square feet. Find the width of the walkway
(x) if the garden measures 15 feet wide by 19 feet long. Write answer to 2 decimal
places. (Write the number without units).
X
15 feet
Your Answer:
19 feet
X
Listen
A stuntman jumps from a roof 440 feet from the ground. How long will it take him to
reach the ground? Use the formula, distance, d = 16t2, (where t is in seconds). Write
answer to 1 decimal place. (Write the number, not the units).
Your Answer:
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.