Finding the Standard Matrix and the Image In Exercises 2 3 - 2 6 , (a) find the standard matrix A for the linear transformation T and (b) use A to find the image of the vector v . Use a software program or a graphing utility to verify your result. T ( x , y , z ) = ( 2 x + 3 y − z , 3 x − 2 z , 2 x − y + z ) , v = ( 1 , 2 , − 1 )
Finding the Standard Matrix and the Image In Exercises 2 3 - 2 6 , (a) find the standard matrix A for the linear transformation T and (b) use A to find the image of the vector v . Use a software program or a graphing utility to verify your result. T ( x , y , z ) = ( 2 x + 3 y − z , 3 x − 2 z , 2 x − y + z ) , v = ( 1 , 2 , − 1 )
Solution Summary: The author explains how the standard matrix is formed as A for T(x,y,z) = 'left'.
Finding the Standard Matrix and the Image In Exercises
2
3
-
2
6
, (a) find the standard matrix
A
for the linear transformation
T
and (b) use
A
to find the image of the vector
v
. Use a software program or a graphing utility to verify your result.
T
(
x
,
y
,
z
)
=
(
2
x
+
3
y
−
z
,
3
x
−
2
z
,
2
x
−
y
+
z
)
,
v
=
(
1
,
2
,
−
1
)
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.
I want to learn this topic l dont know anything about it
Solve the linear system of equations attached using Gaussian elimination (not Gauss-Jordan) and back subsitution.
Remember that:
A matrix is in row echelon form if
Any row that consists only of zeros is at the bottom of the matrix.
The first non-zero entry in each other row is 1. This entry is called aleading 1.
The leading 1 of each row, after the first row, lies to the right of the leading 1 of the previous row.
PRIMERA EVALUACIÓN SUMATIVA
10. Determina la medida de los ángulos in-
teriores coloreados en cada poligono.
⚫ Octágono regular
A
11. Calcula es número de lados qu
poligono regular, si la medida
quiera de sus ángulos internos
• a=156°
A= (-2x+80
2
156 180-
360
0 = 24-360
360=24°
• a = 162°
1620-180-360
6=18-360
360=19
2=360=
18
12. Calcula las medida
ternos del cuadrilá
B
X+5
x+10
A
X+X+
Sx+6
5x=3
x=30
0
лаб
• Cuadrilátero
120°
110°
• α = 166° 40'
200=180-360
0 =
26-360
360=20
ひ=360
20
18 J
60°
⚫a=169° 42' 51.43"
169.4143180-340
0 = 10.29 54-360
360 10.2857
2=360
10.2857
@Sa
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.
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