Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B2

Chapter

Algebra

Question:

If A is symmetric and B is skew symmetric matrix and $A+B=\begin{bmatrix} 1 & -1\\3 &  2\end{bmatrix}$, then matrix A = _______.

Options:

$\begin{bmatrix} 1 & 3\\1 &  2\end{bmatrix}$

$\begin{bmatrix} 1 & -1\\4 &  2\end{bmatrix}$

$\begin{bmatrix} 1 & 1\\1 &  2\end{bmatrix}$

$\begin{bmatrix} 1 & 2\\1 &  1\end{bmatrix}$

Correct Answer:

$\begin{bmatrix} 1 & 1\\1 &  2\end{bmatrix}$