For n=1 (ln(ln(x))), the domain is the set of all real x>1 ;
for n=2, the domain is the set of all real x>e ;
for n=3, the domain is the set of all real x>e^e ;
for n=4, the domain is the set of all real x>e^(e^e)
...Thus, for a general n the domain is the set of all real x greater than...
Edited by mentor to fix up quoted text.
I think they specifically chose x3=0 because the third column which belong to x3 is a dependent column; column_3 = -1(column_1) + 2(column_2). Do I make sense?
Since the solutions we get by 1) choosing x1 = -1 , or, 2) choosing x2 = 0, or, 3) choosing...
Since the rank of the coefficient matrix (by definition the rank of a matrix is the number of non-zero rows in the reduced row echelon form of the matrix) equals the rank of the augmented matrix (both are 3) and is one less than the number of variables in the system (4), the solution of the...
You just need to use the following two facts :
1) If x' is a non-trivial solution to the homogeneous system Ax=0, then ax' is also a solution for this system where a is any scalar.
2) Let H be the general solution of the system Ax=o. Then, the general solution N for the system Ax=b is given by...