MATH 217 Lecture 6: Chapter6Notes

Let A be a 4 times 4 matrix and B be obtained from A by adding 5 times the first row to each of the second and third rows, then det (B) = 5^4 det (A) True False (h) A square matrix D is invertible if and only if 1/det(D) exists as a real number True False (i) If a square matrix B is invertible, then its inverse has zero determinant. True False (j) In order to apply Cramer's Rule, the coefficient matrix of a system must be invertible and the determinant of the inverse of the coefficient matrix must be different from 0. True False