Let A be a matrix of the following form: = a11 a21 a12 anl a22 a32...

 

Transcribed Image Text:

Let A be a matrix of the following form: = a11 a21 a12 anl a22 a32 a23 a33 a34 an-1,n-2 an-1,n-1 an, n-1 Write down an algorithm with complexity O(n) to solve the linear system b for b = (b₁,..., b) using Gaussian elimination without pivoting. Count the number of floating-point operations. Ax ain An-1,n Ann [10 points.] Use R to implement the algorithm in the previous question. Provide an example to validate of your code. Let A be a matrix of the following form: = a11 a21 a12 anl a22 a32 a23 a33 a34 an-1,n-2 an-1,n-1 an, n-1 Write down an algorithm with complexity O(n) to solve the linear system b for b = (b₁,..., b) using Gaussian elimination without pivoting. Count the number of floating-point operations. Ax ain An-1,n Ann [10 points.] Use R to implement the algorithm in the previous question. Provide an example to validate of your code.