Let = , -2 X(t) = [ 6° 2t e -3e -2t X(t)= 2e-2t -6e- -2t 9]. Verify that the matrix ✗(t) is a fundamental matrix of the given linear system. Determine a constant matrix C such that the given matrix Ŷ (t) can be represented as Ŷ(t) = X(t)C. C = help (matrices) The determinant of the matrix C is help (numbers) which is Choose . Therefore, the matrix ✗(t) is Choose Book: Section 3.3 of Notes on Diffy Qs
Let = , -2 X(t) = [ 6° 2t e -3e -2t X(t)= 2e-2t -6e- -2t 9]. Verify that the matrix ✗(t) is a fundamental matrix of the given linear system. Determine a constant matrix C such that the given matrix Ŷ (t) can be represented as Ŷ(t) = X(t)C. C = help (matrices) The determinant of the matrix C is help (numbers) which is Choose . Therefore, the matrix ✗(t) is Choose Book: Section 3.3 of Notes on Diffy Qs
Chapter7: Systems Of Equations And Inequalities
Section7.8: Solving Systems With Cramer's Rule
Problem 3SE: Explain what it means in terms of an inverse for a matrix to have a 0 determinant.
Related questions
Question
![Let
=
,
-2
X(t) = [ 6°
2t
e
-3e
-2t
X(t)=
2e-2t
-6e-
-2t
9].
Verify that the matrix ✗(t) is a fundamental matrix of the given linear system.
Determine a constant matrix C such that the given matrix Ŷ (t) can be represented as Ŷ(t) = X(t)C.
C =
help (matrices)
The determinant of the matrix C is help (numbers)
which is Choose . Therefore, the matrix ✗(t) is Choose
Book: Section 3.3 of Notes on Diffy Qs](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92927d35-c8d4-4d26-a361-d4932ab03fa8%2F90f315bb-b5a7-42f1-9595-69369f20d889%2Fow39pay_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let
=
,
-2
X(t) = [ 6°
2t
e
-3e
-2t
X(t)=
2e-2t
-6e-
-2t
9].
Verify that the matrix ✗(t) is a fundamental matrix of the given linear system.
Determine a constant matrix C such that the given matrix Ŷ (t) can be represented as Ŷ(t) = X(t)C.
C =
help (matrices)
The determinant of the matrix C is help (numbers)
which is Choose . Therefore, the matrix ✗(t) is Choose
Book: Section 3.3 of Notes on Diffy Qs
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