#1
matrix_example = matrix(c(100,23,42,23,342,203), nrow=3, ncol=2)
matrix_example

#2
one_matrix = matrix_example/matrix_example
#one_matrix

#3
one_matrix[,1] = log(matrix_example[,1])
#one_matrix

#4
one_matrix[2,] = matrix_example[2,]*0.33
#one_matrix

#5
# to transpose a matric we use t() function
one_matrix_t = t(one_matrix)
one_matrix_t

#6
matrix_mul = one_matrix_t%*%matrix_example
matrix_mul