Tag Archives: function space

Linear Algebra and Its Applications, Exercise 3.4.25

Posted on January 7, 2018 by hecker

Exercise 3.4.25. Given over the interval what is the closest line to the parabola formed by ? Answer: This amounts to finding a least-squares solution to the equation , where the entries 1, , and are understood as functions of … Continue reading →

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Linear Algebra and Its Applications, Exercise 3.4.23

Posted on January 5, 2018 by hecker

Exercise 3.4.23. Given the step function with for and for , find the following Fourier coefficients: Answer: For the numerator is and the denominator is so that . For the numerator is so that . For the numerator is and … Continue reading →

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Linear Algebra and Its Applications, Exercise 3.4.21

Posted on January 3, 2018 by hecker

Exercise 3.4.21. Given the function on the interval , what is the closest function to ? What is the closest line to ? Answer: To find the closest function to the function we first project onto the function on the … Continue reading →

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