Linear Transformations and Standard Matrices In Exercises 7-18, determine whether the function is a linear transformation. If it is, find its standard matrix A . 15. T : R 3 → R 3 , T ( x 1 , x 2 , x 3 ) = ( x 1 + x 2 , 2 , x 3 − x 1 )
Linear Transformations and Standard Matrices In Exercises 7-18, determine whether the function is a linear transformation. If it is, find its standard matrix A . 15. T : R 3 → R 3 , T ( x 1 , x 2 , x 3 ) = ( x 1 + x 2 , 2 , x 3 − x 1 )
Solution Summary: The author explains that the function T:R3to R 3 is a linear function if it preserves vector addition and scalar multiplication.
Linear Transformations and Standard Matrices In Exercises 7-18, determine whether the function is a linear transformation. If it is, find its standard matrix A.
15.
T
:
R
3
→
R
3
,
T
(
x
1
,
x
2
,
x
3
)
=
(
x
1
+
x
2
,
2
,
x
3
−
x
1
)
TRIANGLES
INDEPENDENT PRACTICE
ription Criangle write and cow
Using each picture or description of triangle write and solve an equation in ordering the
number of degrees in each angle
TRIANGLE
EQUATION & WORK
ANGLE MEASURES
A
B
-(7x-2)°
(4x)
(3x)°
(5x − 10)
C
(5x – 2)
(18x)
E
3.
G
4.
H
(16x)°
LL
2A=
2B=
ZE=
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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