Module # 5 Doing Math
Doing Math with a Matrix in RStudio
1) This week I am tackling matrices and inverse matrices in RStudio. Luckily this is something I have done before, so I expect this to go relatively smoothly.
2) What we will be doing is trying to "find the value of an 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)".
3) Now immediately I know that matrix B will not work because it is not a square, so I am simply not going to bother with it and just run with Matrix A. I will be using RStudio do calculations for the determinate of A, the inverse of A if it is non-singular, and if a inverse exists or not.
> # Define the matrices
> A <- matrix(1:100, nrow=10)> B <- matrix(1:1000, nrow=10)
>
> # Check the dimensions of the matrice
> cat("Dimensions of A:", dim(A), "\n")
Dimensions of A: 10 10
>
> # Calculate the determinant of A
> det_A <- det(A)
>
> # Calculate the inverse of A if it is non-singular
> if (det_A != 0) {
+ inv_A <- solve(A)
+ } else {
+ inv_A <- "Matrix A is singular, no inverse exists."
+ }
>
> # Output the results
> cat("Determinant of A:", det_A, "\n")
Determinant of A: 0
> cat("Inverse of A:\n", inv_A, "\n")
Inverse of A:
Matrix A is singular, no inverse exists.
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4) Now based on the out put above we can see that A does not have a inverse and that the determinate of A is 0.
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