what is invertible matrix
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If this is the case, then the matrix B is uniquely determined by A and is called the inverse of A, denoted by A−1. A square matrix that is not invertible is called singular or degenerate. A square matrix is singular if and only if its determinant is 0. ... For a noncommutative ring, the usual determinant is not defined.
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In linear algebra, an n-by-n square matrix A is called invertible if there exists an n-by-n square matrix B such that where Iₙ denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication
beacoolguyhrisp83c2i:
Actually both the answer means the same
can u please tell me property of skew symmetric matrix in detremimant
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all odd dimension skew symmetric matrices are singular as their determinants are always zero. ... det(A) = Pf(A)2. This polynomial is called the Pfaffian of A and is denoted Pf(A). Thus the determinant of a real skew-symmetric matrix is always non-negative.
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