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 . T : R 2 → R 2 , T ( x 1 , x 2 ) = ( x 1 + 3 , x 2 ) .
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 . T : R 2 → R 2 , T ( x 1 , x 2 ) = ( x 1 + 3 , x 2 ) .
Solution Summary: The author explains that the given function, T:R2to R2, is a linear transformation 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.
T
:
R
2
→
R
2
,
T
(
x
1
,
x
2
)
=
(
x
1
+
3
,
x
2
)
.
Directions: Use the equation A = Pet to answer each question and be sure to show all your work.
1. If $5,000 is deposited in an account that receives 6.1% interest compounded continuously, how much money is in the
account after 6 years?
2. After how many years will an account have $12,000 if $6,000 is deposited, and the account receives 3.8% interest
compounded continuously?
3. Abigail wants to save $15,000 to buy a car in 7 years. If she deposits $10,000 into an account that receives 5.7% interest
compounded continuously, will she have enough money in 7 years?
4. Daniel deposits $8,000 into a continuously compounding interest account. After 18 years, there is $13,006.40 in the account.
What was the interest rate?
5. An account has $26,000 after 15 years. The account received 2.3% interest compounded continuously. How much was
deposited initially?
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=
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