Subjects algebra

Matrix Element Locations

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

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 $f(2,3)$