Matrices & Determinants
Grade 12
Question:
In the matrix $A = \begin{bmatrix} 2 & 5 & 19 & 0 \\ 1 & 2 & 0 & 1 \\ 2 & 7 & \sqrt{3} & \sqrt{5} \end{bmatrix}$<br>(i) The order of the matrix,<br>(ii) The number of elements,<br>(iii) Write the elements $a_{13}, a_{21}, a_{33}, a_{24}, a_{23}$.
Step-by-Step Solution
Key Concept: The order of a matrix is defined as rows × columns, and specific elements $a_{ij}$ are located by identifying the intersection of the $i^{th}$ row and the $j^{th}$ column.
(i) $3 \times 4$<br>(ii) 12<br>(iii) $19, 1, \sqrt{3}, 1, 0$
Correct Answer: A