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Matrices — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsMatrices2 Marks
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 a13, a21, a33, a24, a23.
✓

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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