Symmetric Matrix & Skew Symmetric Matrix (Definition & Properties)

prove that for every n x n matrix m which is sufficiently close to the identity matrix there exists a square root of m ie a matrix a such that a2 m and that this square root a is unique if a 12092

SOLVED: If A is an n X n matrix, then which of the following statements is NOT equivalent to the statement that A is an invertible matrix?(A:) The matrix A is row equivalent to the n X n identity matrix: (B.) The rank of the matrix A is n. (C.) The determinant of A is not equal to 0. (D.) The equation Ax = 0 has nontrivial solution. (E:) The columns of A form basis for Rn