Module #5 Doing Math

 VaShay Carpenter



Your Assignment:


Find the value of inverse of a matrix, determinant of a matrix by using the following values:


A=matrix(1:100, nrow=10)


B=matrix(1:1000, nrow=10)


Post your result and procedure you took on your blog.

Assignment Results:

  • Determinant of A: 0



  • Inverse of A: Undefined (Singular Matrix)



  • Determinant/Inverse of B: Undefined (Non-square Matrix)



This assignment demonstrates that having a matrix of numbers is not enough to perform high-level linear algebra. The computation failed since the numbers must represent independent information. Matrix A is a 'Singular Matrix,' meaning it lacks an inverse. The values 1:100 are in a perfect arithmetic progression. A matrix with linearly dependent rows has a determinant of 0 and therefore no inverse. Before performing operations like regressions or rotations, one must ensure the matrix is non-singular.


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