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.
1. For the following subsets of R3, explain whether or not they are a subspace of R³.
(a)
(b)
1.1
0.65
U
= span
-3.4
0.23
0.4
-0.44
0
(})}
a
V
{(2) | ER
(c) Z= the points in the z-axis
Solve the following equation forx.
leave
answer in
Simplified radical form.
5x²-4x-3=6
MATCHING LIST
Question 6
Listen
Use the given equations and their discriminants to match them to the type and
number of solutions.
00
ed
two irrational solutions
a. x²+10x-2=-24
two rational solutions
b. 8x²+11x-3=7
one rational solution
c. 3x²+2x+7=2
two non-real solutions
d. x²+12x+45 = 9
DELL
FLOWER
CHILD
10/20
All Changes S
$681 22991
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