8 problems.
- \(\forall x(P\Rightarrow Q)\) implies \((\forall x\,P)\Rightarrow(\forall x\,Q)\), but not conversely
- Consecutive Fibonacci numbers are relatively prime
- Exactly one real root of \(x^3=29-x\)
- Continuity of \(f\) implies \(f(a_n)\to f(L)\)
- Standard matrix of \(T\) with \(T(1,1)=(5,3)\) and \(T(2,3)=(7,9)\)
- Linear dependence of \(\{Av_i\}\) and singularity of \(A\)
- The cube roots of \(2-2i\)
- Convergence of \(\sum a_n^2\) under conditional and absolute convergence of \(\sum a_n\)