"Verify that the given vector function satisfies the given system. 710x x(t)= 801
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Verify that the given vector function satisfies the given system.
200
x=710 x, x(t)=
8 0 1
4et
-3e"
What is the rule for finding the derivative of a matrix A(t)?
dA
○ A.
dt
(b) = A' (b) = ['₁ (%)]
dA
○ B.
dt (to) A' (to) IjA, where Iij is the ijth identity matrix.
dA
ос. (to) A' (to) [a' (to) xAj]
dt
dA
=
OD. (to) A (1)= [a' (to)]
Find x'.
x' =
(Type an exact answer in terms of e.)
How is the product of two matrices computed?
○ A. The product of two matrices A and B is formed by taking the array of dot products of the rows of the first "factor" A with the columns of the second "factor" B; the dot product of the ith row of A with the jth column of B is written as the ijth entry of the product
AB.
○ B. The product of two matrices A and B is formed by multiplying the ijth entry in matrix A with the jith entry in matrix B.
○ C. The product of two matrices A and B is formed by multiplying the ijth entry in matrix A with the corresponding ijth entry in matrix B.
○ D. The product of two matrices A and B is formed by taking the array of dot products of the columns of the first "factor" A with the rows of the second "factor" B; the dot product of the ith column of A with the jth row of B is written as the ijth entry of the product
AB.
200
Evaluate 7 10x.
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Transcribed Image Text:Verify that the given vector function satisfies the given system.
200
x=710 x, x(t)=
8 0 1
4et
-3e"
What is the rule for finding the derivative of a matrix A(t)?
dA
○ A.
dt
(b) = A' (b) = ['₁ (%)]
dA
○ B.
dt (to) A' (to) IjA, where Iij is the ijth identity matrix.
dA
ос. (to) A' (to) [a' (to) xAj]
dt
dA
=
OD. (to) A (1)= [a' (to)]
Find x'.
x' =
(Type an exact answer in terms of e.)
How is the product of two matrices computed?
○ A. The product of two matrices A and B is formed by taking the array of dot products of the rows of the first "factor" A with the columns of the second "factor" B; the dot product of the ith row of A with the jth column of B is written as the ijth entry of the product
AB.
○ B. The product of two matrices A and B is formed by multiplying the ijth entry in matrix A with the jith entry in matrix B.
○ C. The product of two matrices A and B is formed by multiplying the ijth entry in matrix A with the corresponding ijth entry in matrix B.
○ D. The product of two matrices A and B is formed by taking the array of dot products of the columns of the first "factor" A with the rows of the second "factor" B; the dot product of the ith column of A with the jth row of B is written as the ijth entry of the product
AB.
200
Evaluate 7 10x.
80 1
Transcribed Image Text:200
710x=
(Type an exact answer in terms of e.)
8 0 1
200
Since x 710x, this completes the verification.
801
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