Answer the following questions using the R code. #create a matrix mat1 mat1=matrix(c(1,2,1,2,2,4), nrow=2, ncol=3) dim(mati) print(mat) #create a matrix mat.part from mat1 mat part=mat1[.c(1,3)] dim(mat.part) print(mat.part) det(mat.part) #create a matrix mat2 mat2=matrix(c(1,4,3,8,5,3), nrow=3,ncol=2, byrow=TRUE) dim(mat2) print(mat2) #perform matrix multiplication mat.out=mat1%*%t(mat2) dim(mat.out) Question A: What is the dimension of mat1 and mat2 separately? Question B: Is mat.part a square matrix? If it is true, does it have an inverse matrix, and why? Question C. Are mat1 and mat2 conformable? Is there any error in the program above? If it does, correct it on the side of that row