The number of 4×4 skew symmetric matrices that can be formed using exactly four 0's, six 3's and six −3's is
Open in App
Solution
For skew symmetric matrix aij=−aji and diagonal elements =0
Let A be the matrix then A=⎡⎢
⎢
⎢
⎢⎣0abc−a0de−b−d0f−c−e−f0⎤⎥
⎥
⎥
⎥⎦
Each element above diagonal can be filled in 2 ways either 3 or −3.
The number such matrix possible =26=64