Question: Compute the matrix exponential e At for each system x' = Ax given in Problems 9 through 20. x' 1 = 9x 1 - 8x

Compute the matrix exponential e^At for each system x' = Ax given in Problems 9 through 20.

x'₁ = 9x₁ - 8x₂, x'₂ = 6x₁ - 5x₂

Data in Problem 9 through 20

9. x = 5x14x2, x = 2x1-x2 x = 4x14x2 10. x

9. x = 5x14x2, x = 2x1-x2 x = 4x14x2 10. x = 6x16x2, x/2 11. x = 5x13x2, x = 2x1 12. x = 5x1 - 4x2, x = 3x1 - 2x2 13. x = 9x18x2, x = 6x1 - 5x2 14. x = 10x6x2, x = 12x1 - 7x2 15. x6x110x2, x2 = 2x13x2 16. x = 11x - 15x2, x = 6x1 - 8x2 17. x = 3x1 + x2, x = x + 3x 18. x = 4x1 + 2x2, x = 2x1 +4x2 X2 19. x = 9x1 + 2x2, x = 2x1 + 6x2 20. x 13x + 4x2, x = 4x1 + 7x2

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