5. A sequence of elementary row operations was applied to a matrix A to put it in an upper triangular form. The result is as follows: 1 2 -3 4 0 2 -2 E43(-1)E32(-2)E2(-2)E31(2)E21(-4)E13A = 0 0 4 -5 0 0 1 Which of the following is the determinant of A? (a) 2 (b) –2 (c) 4 (d) –4

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.5: Determinants
Problem 73E
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5. A sequence of elementary row operations was applied to a matrix A to put it in an upper triangular
form. The result is as follows:
1 2 -3
4
0 2
-2
Ез (—1) Ез2(-2) Б2(-2) Ез1 (2) Е2 (—4) E13А %—
0 0
4
-5
0 0
1
Which of the following is the determinant of A?
(a) 2
(b) –2
(c) 4
(d) –4
Transcribed Image Text:5. A sequence of elementary row operations was applied to a matrix A to put it in an upper triangular form. The result is as follows: 1 2 -3 4 0 2 -2 Ез (—1) Ез2(-2) Б2(-2) Ез1 (2) Е2 (—4) E13А %— 0 0 4 -5 0 0 1 Which of the following is the determinant of A? (a) 2 (b) –2 (c) 4 (d) –4
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