Sample Practice Midterm Questions_2007

# Sample Practice Midterm Questions_2007 - (f if a =-4 and b...

This preview shows pages 1–2. Sign up to view the full content.

Practice Midterm Questions 2007 1. Answer whether each statement is True (choose #a) or False (choose #b) (i) A linear system must contain at least two linear equations (ii) Two linear systems are equivalent if and only if their associated augmented matrices are row equivalent. (iii) An nxn homogeneous linear system has a unique solution. (iv) Any two echelon forms for a given matrix A have the same number of zero rows. (v) If A = 6 4 2 1 , then A 2 - 7 A = 2 I 2 . (vi) If A is symmetric, then - A is skew symmetric. (vii) The equation A - 3 1 = - 1 . 3 5 . 4 is true for some matrix A with all nonzero entries. (viii) If A is a permutation matrix, then A k is a permutation matrix for every 2 k . 2. For which values of a and b does the system = + + = + - = + + - b az y x z x z y x 2 2 2 8 2 3 have more than one solution? (a) if a = -4 and b ≠ 0. (b) if a ≠ -4 and b ≠ 0. (c) if a = 4 and b = 0. (d) if a ≠ 4 and b ≠ 0. (e) if a = 4 and b ≠ 0.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (f) if a = -4 and b = 0. 3. Let A = --1 2 1 3 2 1 3 . then the main diagonal of A-1 is: (a) 1, 3, -7. (b) -1, -3, -6. (c) 1, -3, -7. (d) -1, 3, -6. (e) -1, -3, -7. (f) 1, 3, -6. 4. The lower triangular matrix [L] in the [L][U] decomposition of matrix given below = 33 23 22 13 12 11 32 31 21 1 1 1 22 12 8 16 8 10 4 5 25 u u u u u u is (a) 1 7333 . 1 32000 . 1 40000 . 1 (b) -2400 . 4 400 . 14 6 4 5 25 (c) 12 8 1 10 1 (d) 1 5000 . 1 32000 . 1 40000 . 1...
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

Sample Practice Midterm Questions_2007 - (f if a =-4 and b...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online