Linear Transformation and Bases In Exercises 25-28, let T : R 3 → R 3 be a linear transformation such that T ( 1 , 0 , 0 ) = ( 2 , 4 , - 1 ) , T ( 0 , 1 , 0 ) = ( 1 , 3 , - 2 ) , and T ( 0 , 0 , 1 ) = ( 0 , - 2 , 2 ) . Find the specified image. T ( 2 , − 4 , 1 )
Linear Transformation and Bases In Exercises 25-28, let T : R 3 → R 3 be a linear transformation such that T ( 1 , 0 , 0 ) = ( 2 , 4 , - 1 ) , T ( 0 , 1 , 0 ) = ( 1 , 3 , - 2 ) , and T ( 0 , 0 , 1 ) = ( 0 , - 2 , 2 ) . Find the specified image. T ( 2 , − 4 , 1 )
Solution Summary: The author explains how the vector (2,-4,1) can be written as a linear transformation from V into W.
Linear Transformation and BasesIn Exercises 25-28, let
T
:
R
3
→
R
3
be a linear transformation such that
T
(
1
,
0
,
0
)
=
(
2
,
4
,
-
1
)
,
T
(
0
,
1
,
0
)
=
(
1
,
3
,
-
2
)
, and
T
(
0
,
0
,
1
)
=
(
0
,
-
2
,
2
)
. Find the specified image.
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A falling object travels a distance given by the formula d = 6t + 9t2 where d is in feet
and t is the time in seconds. How many seconds will it take for the object to travel
112 feet? Round answer to 2 decimal places. (Write the number, not the units).
Your Answer:
Solve by the quadratic formula or completing the square to obtain exact solutions.
2
e
104
OA) -16±3√6
B) 8±√10
O c) -8±√10
OD) 8±3√√6
U
Question 14 (1 point)
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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
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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