Question
Asked Oct 8, 2019
(5) (Section 4.7 #5) Solve the initial value problem
Aa, where o el, given that:
1
-t
(a) (t)
is a solution,
= e
(b) tr(A) 3, and
(c) A is symmetric
help_outline

Image Transcriptionclose

(5) (Section 4.7 #5) Solve the initial value problem Aa, where o el, given that: 1 -t (a) (t) is a solution, = e (b) tr(A) 3, and (c) A is symmetric

fullscreen
check_circle

Expert Answer

Step 1

Given initial value problem is

where
1
(a) t) e
is a solution
2
(b) tr(A)-3
(c) A is symmetric
help_outline

Image Transcriptionclose

where 1 (a) t) e is a solution 2 (b) tr(A)-3 (c) A is symmetric

fullscreen
Step 2

Suppose A is given by

a b
А —
d)
From (c)
b c
so A becomes
ab
A =
b d
help_outline

Image Transcriptionclose

a b А — d) From (c) b c so A becomes ab A = b d

fullscreen
Step 3

Now using condi...

b d
2
2
1
e
b d
2
2
a+2b
b+2d
on comparing
a 2b-1...(1)
b+2d -2...(2)
Using condition (b)
tr(A)= sum of diagonal entries
a+d 3 3)
On solving equation (1), (2) and (3)
a 3
b=-2
d 0
So matrix A becomes
3 -2
A =
-2
help_outline

Image Transcriptionclose

b d 2 2 1 e b d 2 2 a+2b b+2d on comparing a 2b-1...(1) b+2d -2...(2) Using condition (b) tr(A)= sum of diagonal entries a+d 3 3) On solving equation (1), (2) and (3) a 3 b=-2 d 0 So matrix A becomes 3 -2 A = -2

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Algebra

Other

Related Algebra Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: f(x)=1/x-7 and g(x)=1/x-1 then the domain of f o g is equal to all reals except for two values , a a...

A: Refer to the question we have to find the domain of (f o g)(x) is equal to all real values except fo...

question_answer

Q: Given s(t) = t3 − 4t + 8, evaluate. s(a)

A: Givens(t) = t3 − 4t + 8,evaluate.s(a)

question_answer

Q: Problem Set- Permutation & Combination Solve the following. Show your solutions if necessary. Strict...

A: There are two ways both Mark and Erick can win the tournament that is either they win  two game or a...

question_answer

Q: What are the blanks?

A: a)Regression line for the given data can be obtained by spreadsheet as shown below.

question_answer

Q: The equation of a line is given below. 3x+ 5y 10 Find the slope and the y-intercept. Then use them t...

A: Given equation of line is :We need to find the slope and y-intercept of the line.Also graph this lin...

question_answer

Q: how do I solve the equation: x2 +2x = 0

A: Solve the equation for x as follows.

question_answer

Q: The graph below describes your height, h=f(t) , above the ground on a Ferris wheel, where h is in me...

A: Hello! Thank you for the question. Since we only answer up to 3 sub-parts, we’ll answer the first 3....

question_answer

Q: Twice the length of a rectangle is equal to four times its width. The perimeter of a rectangle is 80...

A: Let l and w be the length and width of the rectangle, respectively.Given that, twice the length of a...

question_answer

Q: How do I solve this one math has been a struggle

A: Given,