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MATRICES — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsMATRICES3 Marks
Question
In the matrix $\text{A}=\begin{bmatrix}\text{a}&1&\text{x}\\2&\sqrt{3}&\text{x}^2-\text{y}\\0&5&\frac{-2}{5}\end{bmatrix},$ write:
  1. The order of the matrix $A.$
  2. The number of elements.
  3. Write elements $a_{23}, a_{31}, a_{12}.$
✓

Answer

We have, $\text{A}=\begin{bmatrix}\text{a}&1&\text{x}\\2&\sqrt{3}&\text{x}^2-\text{y}\\0&5&\frac{-2}{5}\end{bmatrix}$
  1. If a matrix has $M$ rows and $N$ columns, the order of matrix is $M × N.$ Therefore, the order of the matrix $A$ is $3 × 3$.
  2. If a matrix has $M$ rows and $N$ columns, the number of elements is $MN.$ Therefore, the number of elements is $3 × 3 = 9.$
  3. We know that $a_{ij},$ is a representation of element lying in the ith row and jth column
$\therefore a_{23} = x^2 - y, a_{31} = 0, a_{12} = 1$

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