Q35. - Algebra 2

Question

In matrix $\mathbf{A}\mathbf{=}\left[\begin{array}{ccc}1& 5& -2\\ -4& 0& 6\\ 3& 7& 8\end{array}\right]$, element 3 is in which row and column?

1. Row 1, column 3                                  C. Row 1, column 1
2. Row 3, column 1                                  D. row 3, column 3

Step-by-Step Solution

Answer

An element 3 is in row 3 and column 1.

Step 1 – Description of step.

Matrix is an ordered rectangular arrangement of numbers in horizontal rows and vertical columns enclosed in brackets.

Step 2 – Description of step.

A matrix $A=\left[\begin{array}{ccc}1& 5& -2\\ -4& 0& 6\\ 3& 7& 8\\ & & \end{array}\right]$is a $3\times 3$ matrix, that is, it has 3 rows and 3 columns.

Step 3 – Description of step.

Element 3 is in third row and first column.

 

Therefore, option B is the correct answer.