Determine which formula(s) can be used to find the pseudoinverse of \( A=\left[\begin{array}{ccc}1 & 1 & 3 \\ 3 & 3 & 9 \\ 5 & 5 & 15\end{array}\right] \). \( A^{+}=A^{T}\left(A A^{T}\right)^{-1} \) \( A^{+}=\left(A^{T} A\right)^{-1} A^{T} \) \( A^{+}=\lim _{\alpha \rightarrow 0}\left(A^{T} A+\alpha^{2} I\right)^{-1} A^{T} \)

A computer technician charges a fixed amount for a repair, plus an additiona What is the meaning of the initial amount for the equation? A. It means the technician charges \( \$ 45 \) per hour for the repair. B. It means the technician charges a fixed amount of \( \$ 45 \) for the repair. C. It means the technician charges a fixed amount of \( \$ 75 \) for the repair, D. It means the technician charges \( \$ 75 \) per hour for the repair.

Prove that for three sets \( \mathrm{A}, \mathrm{B} \) and C . \( (A \cap B)^{\prime}=A^{\prime} \cup B^{\prime} \) \( (A \cup B)^{\prime}=A^{\prime} \cap B^{\prime} \) Define Cartesian nroduct of two sets.

14. Which of the following statement is false? A. \( \{\emptyset\} \in\{0,\{\varnothing\}\} \) B. \( \emptyset \subseteq\} \) C. \( \{\emptyset\}=\{ \} \) D. \( \emptyset \subseteq\{0,\{\varnothing\}\} \)

Explain the difference between exponential growth and exponential decay.

Which is an advantage of roottop gardens over traditional gardens? A. better drainage C. more soil in which plants can spread out D. cooler growing season