
TRUE OR FALSE STATEMENTS
CHAPTER 1 MATRICES AND LINEAR SYSTEMS
OF EQUATIONS
1. In a diagonal matrix some of the diagonal
elements may be zero. Ans: T
2. The product of two nonzero matrices is always
a nonzero matrix. Ans: F
3. The rank of a singular matrix is one less than its
order. Ans: F
4. The sum of two nonsingular matrices is always
nonsingular. Ans: F
5. The product of two matrices is singular if either
of them is singular. Ans: T
6. The system x − y = 2, x + y = 0 has a unique
solution. Ans: T
7. The system x + y = 2, 2x + 2y = 4 has an infi nite
set of solutions. Ans: T
8. The system x + 2y = 1, 3x + 2y = 4 has no solu- ...