a) Determine the rank of: \( A=\left(\begin{array}{cccc}1 & 2 & 0 & -1 \\ 2 & 6 & -3 & -3 \\ 3 & 10 & -6 & -5\end{array}\right) \).

1. Охарактеризуйте множества А и В. Если они конечные, то перечислите их элементы. Найдите \( A \cap B \), если \( A=\{n \mid k \in N ; n=2 k\}, B=\{n \mid-10 \leq n \leq 12 ; n \in Z\} \)

11. If 'North-East' becomes 'West' and 'South-East' becomes South and so on. What will 'West'become? यदि उतर-पूर्व, पश्चिम हो जाता है और दक्षिण-पूर्व, दक्षिण हा जाता है, तो पश्चिम क्या होगा? (a) South-East/दक्षिण पूर्व (b) North-West/उत्तर-पश्चिम (c) South-West/दक्षिण पश्चिम (d) North-East/उत्तर पूर्व

Compute \( \operatorname{det} A^{4} \), where \( A=\left(\begin{array}{lll}0 & 1 & 2 \\ 1 & 2 & 2 \\ 2 & 1 & 2\end{array}\right) \)

Determining the number of people who are accountable to a single manager refers to A. Chain of command B. Degree of ecentralization C. Span of control D. Degree of specialization

1ple 3: Prove that \( (A \cup B)^{\prime}=A^{\prime} \cap B^{\prime} \) (i) Using Venn diagrams (ii) rigorously