Matrix Element Locations
1. The problem gives a 4x4 matrix:
$$\begin{pmatrix} 6 & -5 & 1 & -3 \\ 2 & -4 & 8 & 3 \\ 4 & -7 & -6 & 5 \\ -2 & 9 & 7 & -1 \end{pmatrix}$$
2. We use double subscript notation $f(i,j)$ where $i$ is the row number and $j$ is the column number to identify elements.
3. (i) Find the location of element 3:
- Locate 3 in the matrix: It is in row 2, column 4.
- So, $f(2,4)=3$.
4. (ii) Find the location of element -1:
- Locate -1 in the matrix: It is in row 4, column 4.
- So, $f(4,4)=-1$.
5. (iii) Find the location of element 8:
- Locate 8 in the matrix: It is in row 2, column 3.
- So, $f(2,3)=8$.
Summary:
- Element 3 is at $f(2,4)$
- Element -1 is at $f(4,4)$
- Element 8 is at $f(2,3)$