Problem 1TI: Use Cramer's Rule to solve the 22 system of equations. x+2y=112x+y=13 Problem 2TI: Find the determinant of the 33 matrix. det(A)=|137111123| Problem 3TI: Use Cramer's Rule to solve the 33 matrix. x3y+7z=13x+y+z=1x2y+3z=4 Problem 1SE: Explain why we can always evaluate the determinant of a square matrix. Problem 2SE: Examining Cramer's Rule, explain why there is no unique solution to the system when the determinant... Problem 3SE: Explain what it means in terms of an inverse for a matrix to have a 0 determinant. Problem 4SE: The determinant of 22 matrix A is 3. If you switch the rows and multiply the first row by 6 and the... Problem 5SE: For the following exercises, find the determinant. |1234| Problem 6SE: For the following exercises, find the determinant. |1234| Problem 7SE: For the following exercises, find the determinant. |2516| Problem 8SE: For the following exercises, find the determinant. |8415| Problem 9SE: For the following exercises, find the determinant. |1034| Problem 10SE: For the following exercises, find the determinant. |1020010| Problem 11SE: For the following exercises, find the determinant. |100.250.1| Problem 12SE: For the following exercises, find the determinant. |6384| Problem 13SE: For the following exercises, find the determinant. |233.14,000| Problem 14SE: For the following exercises, find the determinant. |1.10.67.20.5| Problem 15SE: For the following exercises, find the determinant. |100010003| Problem 16SE: For the following exercises, find the determinant. |140023003| Problem 17SE: For the following exercises, find the determinant. 17. |101010100| Problem 18SE: For the following exercises, find the determinant. |231341561| Problem 19SE: For the following exercises, find the determinant. |214428283| Problem 20SE: For the following exercises, find the determinant. |612435191| Problem 21SE: For the following exercises, find the determinant. 21. |511231363| Problem 22SE: For the following exercises, find the determinant. |1.1214004.10.42.5| Problem 23SE: For the following exercises, find the determinant. |21.63.11.1389.302| Problem 24SE: For the following exercises, find the determinant. | 1 2 1 3 1 4 1 5 1 6 1 700 1 8| Problem 25SE: For the following exercises, solve the system of linear equations using Cramer’s Rule. 2x3y=14x+5y=9 Problem 26SE: For the following exercises, solve the system of linear equations using Cramer’s Rule. 5x4y=24x+7y=6 Problem 27SE: For the following exercises, solve the system of linear equations using Cramer’s Rule. 6x3y=28x+9y=1 Problem 28SE: For the following exercises, solve the system of linear equations using Cramer’s Rule.... Problem 29SE: For the following exercises, solve the system of linear equations using Cramer’s Rule. 4x+3y=232xy=1 Problem 30SE: For the following exercises, solve the system of linear equations using Cramer’s Rule.... Problem 31SE: For the following exercises, solve the system of linear equations using Cramer’s Rule. 4x3y=32x+6y=4 Problem 32SE: For the following exercises, solve the system of linear equations using Cramer’s Rule. 4x5y=73x+9y=0 Problem 33SE: For the following exercises, solve the system of linear equations using Cramer’s Rule.... Problem 34SE: For the following exercises, solve the system of linear equations using Cramer’s Rule. 8x2y=34x+6y=4 Problem 35SE: For the following exercises, solve the system of linear equations using Cramer’s Rule.... Problem 36SE: For the following exercises, solve the system of linear equations using Cramer’s Rule.... Problem 37SE: For the following exercises, solve the system of linear equations using Cramer’s Rule.... Problem 38SE: For the following exercises, solve the system of linear equations using Cramer’s Rule. 38.... Problem 39SE: For the following exercises, solve the system of linear equations using Cramer’s Rule.... Problem 40SE: For the following exercises, solve the system of linear equations using Cramer’s Rule.... Problem 41SE: For the following exercises, solve the system of linear equations using Cramer’s Rule.... Problem 42SE: For the following exercises, solve the system of linear equations using Cramer’s Rule.... Problem 43SE: For the following exercises, solve the system of linear equations using Cramer’s Rule.... Problem 44SE: For the following exercises, solve the system of linear equations using Cramer’s Rule.... Problem 45SE: For the following exercises, use the determinant function on a graphing utility. |1089021010300243| Problem 46SE: For the following exercises, use the determinant function on a graphing utility. |1021091330210112| Problem 47SE: For the following exercises, use the determinant function on a graphing utility. | 1 2 1 7 4 0 1 2... Problem 48SE: For the following exercises, use the determinant function on a graphing utility. |1000230045607890| Problem 49SE: For the following exercise, create a system of linear equations to describe the behavior. Then,... Problem 50SE: For the following exercise, create a system of linear equations to describe the behavior. Then,... Problem 51SE: For the following exercise, create a system of linear equations to describe the behavior. Then,... Problem 52SE: For the following exercise, create a system of linear equations to describe the behavior. Then,... Problem 53SE: For the following exercise, create a system of linear equations to describe the behavior. Then,... Problem 54SE: For the following exercise, create a system of linear equations to describe the behavior. Then,... Problem 55SE: For the following exercise, create a system of linear equations to describe the behavior. Then,... Problem 56SE: For the following exercise, create a system of linear equations to describe the behavior. Then,... Problem 57SE: For the following exercise, create a system of linear equations to describe the behavior. Then,... Problem 58SE: For the following exercise, create a system of linear equations to describe the behavior. Then,... Problem 59SE: For the following exercise, create a system of linear equations to describe the behavior. Then,... Problem 60SE: For the following exercise, create a system of linear equations to describe the behavior. Then,... Problem 61SE: For the following exercise, create a system of linear equations to describe the behavior. Then,... Problem 62SE: For the following exercise, create a system of linear equations to describe the behavior. Then,... Problem 63SE: For the following exercise, create a system of linear equations to describe the behavior. Then,... Problem 64SE: For the following exercise, create a system of linear equations to describe the behavior. Then,... Problem 65SE: For the following exercise, create a system of linear equations to describe the behavior. Then,... Problem 66SE: For the following exercises, use this scenario: A health-conscious company decides to make a trail... Problem 67SE: For the following exercises, use this scenario: A health-conscious company decides to make a trail... Problem 68SE: For the following exercises, use this scenario: A health-conscious company decides to make a trail... format_list_bulleted
![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
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