Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

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 :

Options:

b = 1 and c= 1

b= 2 and c= 4

b = -2 and c= -4

b= 0 and c= 0

Correct Answer:

b= 2 and c= 4

Explanation:

The correct answer is Option (2) → b = 2 and c = 4

$A=A^T⇒\begin{bmatrix} 0 & b & 1\\2 & 0 & c\\3 & 4 & 0 \end{bmatrix}=\begin{bmatrix} 0 & 2 & 3\\b & 0 & 4\\1 & c & 0 \end{bmatrix}$

$⇒b=2,c=4$