Question

Martix B = `[(0, 3, 1),(-3, 0, -4),("P", 4, 0)]` is skew-symmetric then value of P is ______.

Options

• 1

• –1

• 0

• –3

Answer 1

Martix B = `[(0, 3, 1),(-3, 0, -4),("P", 4, 0)]` is skew-symmetric then value of P is –1.

Explanation:

In a skew-symmetric matrix, the element at row, column must be the negative of the element at row, column i (i.e., b_ij = –b_ji).

Looking at the matrix:

B = `[(0, 3, 1),(-3, 0, -4),(P, 4, 0)]`

The element in the third row, first column (b₃₁) is P. Its corresponding element across the main diagonal is in the first row, third column (b₁₃), which is 1.

Following the rule b₃₁ = –b₁₃:

P = – (1)

P = –1