Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Algebra

Question:

The number of skew symmetric matrices of order 3 can be formed by using all elements of set {0, -a, a, -b, b, -c, c}

Options:

24

48

96

108

Correct Answer:

48

Explanation:

The correct answer is Option (2) → 48

$A=\begin{pmatrix}0&a&b\\-a&0&c\\-b&-c&0\end{pmatrix}$

Number of skew-symmetric matrices = $3!×8$

$=6×8=48$