Solving Equations for Trivial and Nontrivial Solutions

Answered: ) Construct a 3x3 non-triangular matrix, which has three distinct eigenvalues. Determine eigenvalues and corresponding eigenvectors. | bartleby

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