September 2009
Intermediate to advanced
434 pages
15h 31m
English
Content preview from Mathematical Methods
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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 infinite set of solutions
Ans: T
8. The system x + 2y = 1, 3x + 2y = 4 has no solution
Ans: F
Chapter 2 Eigenvalues and Eigenvectors
9. A matrix and its inverse have the same eigenvalues if A is orthogonal ...
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