1. Example Using Gauss-Jordan method determine the inverse of the ma- trix \[ A=\left[\begin{array}{ccc}5 & 2 & -3 \\ 3 & 1 & -2 \\ 2 & -3 & -4\end{array}\right] \in \mathbb{R}^{3 \times 3} \]

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

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

10. Найти собственные значения и собственные и присоединенные векторы матрицы лнейного оператора и найти вид этой матрицы в базисе пз собственных и присоединенных векторов \[ \left[\begin{array}{rrr}5 & 4 & -4 \\ -1 & 3 & 1 \\ 0 & 2 & 2\end{array}\right] \]

2) Verifique se a matriz abaixo é inversível. Caso seja inversível, encontre sua inversa. \[ A=\left[\begin{array}{ccc}1 & 1 & -1 \\ 2 & 1 & -1 \\ 3 & -1 & 1\end{array}\right] \]

11. Write any three objectives of teaching Mathematics at Primary level, 12. What is the Socio-Cultural background of mathematical knowledge? 13. Give three merits of Play-Way method. 14. Draw the Indian place value chart and represent the number 58308 . 15. Add \( 2.342,3.04 \) and 8.2 . 16. Divide 0.245 by 6 . 17. Define Scalene triangle, Isosceles triangle and Equilateral triangle. 18. What do you mean by comprehensiveness of evaluation? 19. Mention any three purposes of evaluation. 20. Give a list of three tools and three techniques of evaluation in Mathematics.