5. Find a fundamental matrix of the following system and apply x(t) = $(t)Þ(0)¯'¹x to find a solution satisfying the initial conditions. 5 0-6 X'= 1 -1 -1x 2 -2 -2 1 X(0) = 0 2

Elementary Linear Algebra (MindTap Course List)
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Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 17CM: Find the sequence of the elementary matrices whose product is the non singular matrix below. [2410]
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Could you please solve question 5 with steps

4. Find the general solutions to the system: (Any method from this unit)
9
0
x'= -1 11 -1 x
1 0 13
5. Find a fundamental matrix of the following system and apply x(†) = Þ(†)Þ(0)¯¹x, to find a solution
satisfying the initial conditions.
5
x' = 1
0-6
-1 -1 X
2 -2 -2
1
X(0) = 0
2
Transcribed Image Text:4. Find the general solutions to the system: (Any method from this unit) 9 0 x'= -1 11 -1 x 1 0 13 5. Find a fundamental matrix of the following system and apply x(†) = Þ(†)Þ(0)¯¹x, to find a solution satisfying the initial conditions. 5 x' = 1 0-6 -1 -1 X 2 -2 -2 1 X(0) = 0 2
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