-9 -2 -1 -9 -2 -1 27 6. %3! 0-2 - 2 9 -2 - 2 9 -2 ... Choose the correct answer below. O A. If A and B are square matrices, then det AB = (det A)(det B). B. If two rows of A are interchanged to produce B, then det B = - det A. O C. If one row of A is multiplied by k to produce B, then det B = k• det A. D. If a multiple of one row of A is added to another row to produce matrix B, then det B = det A.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.4: Determinants And Cramer's Rule
Problem 74E
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Question
State which property of determinants is illustrated in this equation.
-9 -2 -1
-9 -2 -1
27
6 1
0 0 -2
- 2
9 -2
- 2
9 -2
Choose the correct answer below.
A. If A and B are square matrices, then det AB = (det A)(det B).
B. If two rows of A are interchanged to produce B, then det B = - det A.
C. If one row of A is multiplied by k to produce B, then det B =k•det A.
O D. If a multiple of one row of A is added to another row to produce matrix B, then det B = det A.
Transcribed Image Text:State which property of determinants is illustrated in this equation. -9 -2 -1 -9 -2 -1 27 6 1 0 0 -2 - 2 9 -2 - 2 9 -2 Choose the correct answer below. A. If A and B are square matrices, then det AB = (det A)(det B). B. If two rows of A are interchanged to produce B, then det B = - det A. C. If one row of A is multiplied by k to produce B, then det B =k•det A. O D. If a multiple of one row of A is added to another row to produce matrix B, then det B = det A.
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