
Understanding Differential Equations in Matrix Notation

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard
Standards-aligned

Sophia Harris
FREE Resource
Standards-aligned
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9 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial form of the system of differential equations discussed?
X Prime equals 3x minus y plus e to the T
Y Prime equals 3x plus y
Y Prime equals 2x minus y
X Prime equals 2x plus y
Tags
CCSS.HSA.REI.C.8
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In matrix notation, what does the vector equation represent?
A single algebraic equation
A system of equations in vector form
A system of equations in scalar form
A single differential equation
Tags
CCSS.HSA.REI.C.8
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the role of P(T) in the vector equation?
It is a scalar function
It is a constant
It is a matrix-valued function
It is a vector-valued function
Tags
CCSS.HSA.REI.C.7
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the first differential equation expressed in terms of its components?
X Prime equals 2x plus y
Y Prime equals 2x minus y
Y Prime equals 3x plus y
X Prime equals 3x minus y plus e to the T
Tags
CCSS.HSA.REI.C.8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What additional terms are added to the second equation to express it in matrix notation?
Zero times y and zero times x
Zero times y and zero times T
Zero times x and zero times y
Zero times x and zero times T
Tags
CCSS.HSA.REI.C.8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the structure of P(T) in the matrix notation?
A 2x2 matrix
A 3x3 matrix
A 2x1 matrix
A 1x2 matrix
Tags
CCSS.HSA.REI.C.8
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the entries of the vector-valued function F(T)?
e to the T and zero
Zero and e to the T
One and zero
e to the T and one
Tags
CCSS.HSA.REI.C.8
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of expressing the system in matrix notation?
To simplify the equations
To solve the equations algebraically
To represent the system in a compact form
To eliminate the need for variables
Tags
CCSS.HSA.REI.C.7
9.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final form of the system in matrix notation?
Y Prime equals 3x plus y
X Prime equals 2x plus y
X Prime equals 3x minus y plus e to the T
Y Prime equals 2x minus y
Tags
CCSS.HSA.REI.C.7
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