Practicing Success
If the matrix $A=\begin{bmatrix} 0 & b & 1\\2 & 0 & c\\3 & 4 & 0 \end{bmatrix}$ is a symmetric , then the values of b and c are : |
b = 1 and c= 1 b= 2 and c= 4 b = -2 and c= -4 b= 0 and c= 0 |
b= 2 and c= 4 |
The correct answer is Option (2) → b = 2 and c = 4 $A=A^T⇒\begin{bmatrix} 0 & b & 1\\2 & 0 & c\\3 & 4 & 0 \end{bmatrix}=\begin{bmatrix} 0 & 2 & 3\\b & 0 & 4\\1 & c & 0 \end{bmatrix}$ $⇒b=2,c=4$ |