Question
In the matrix $A = \left[\begin{array}{cccc} {2} & {5} & {19} & {-7} \\ {35} & {-2} & {\frac{5}{2}} & {12} \\ {\sqrt{3}} & {1} & {-5} & {17} \end{array}\right]$ write:
  1. The order of the matrix,
  2. The number of elements,
  3. Write the elements $a_{13}, a_{21}, a_{33}, a_{24}, a_{23}.$

Answer

  1. In the given matrix, the number of rows is $3$ and the number of columns is $4.$
    Order of a matrix $=$ No. of rows $\times$ No of columns
    Therefore, Order of the given matrix is $3 \times 4.$
  2. Since, the order of the matrix is $3 \times 4,$ there are $3 \times 4 = 12$ elements in it.
  3. $a_{13}=19, a_{21}=35, a_{33}=-5, a_{24}=12, a_{23}=\frac{5}{2}$

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