(Solved): Example: The 5 x 5 matrix is not invertible Example: If A is an invertible n x n matrix, what is r ...

Example: The 5 x 5 matrix is not invertible Example: If A is an invertible n x n matrix, what is rank(A)? A is invertible ? rref(A) rref(A) ? rank(A) = rank(In) ? rank(A) = = 2 1 -1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 , since it is in reduced row echelon form but it is not equal to 15. = In by the Invertible Matrix Theorem; X