State which property of determinants is illustrated in this equation. - 5 - 7 - 5 - 1 - 7 - 1 - 10 3 6 20 - 1 8 7 3 8 7 3 Choose the correct answer below. O A. If two rows of A are interchanged to produce B, then det B = - det A. O B. IfA and Bare square matrices, then det AB = (det A)(det B). Oc. Ifa multiple of one row of A is added to another row to produce matrix B, then det B = det A. O D. If one row of A is multiplied by k to produce B, then det B = k• det A.
State which property of determinants is illustrated in this equation. - 5 - 7 - 5 - 1 - 7 - 1 - 10 3 6 20 - 1 8 7 3 8 7 3 Choose the correct answer below. O A. If two rows of A are interchanged to produce B, then det B = - det A. O B. IfA and Bare square matrices, then det AB = (det A)(det B). Oc. Ifa multiple of one row of A is added to another row to produce matrix B, then det B = det A. O D. If one row of A is multiplied by k to produce B, then det B = k• det A.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
State which property of determinants is illustrated in this equation.
![State which property of determinants is illustrated in this equation.
- 5
- 1
- 7
- 5
- 1
- 7
- 10 - 3
- 1
20
8 7
3
8 7
3
Choose the correct answer below.
O A. If two rows of A are interchanged to produce B, then det B= - det A.
O B. IfA and B are square matrices, then det AB = (det A)(det B).
O C. If a multiple of one row of A is added to another row to produce matrix B, then det B = det A.
O D. If one row of A is multiplied by k to produce B, then det B = k• det A.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc32790b-a5b6-4a0f-99b0-981a2c0a37bc%2Fc4c211ca-b867-4d7b-9e60-03601e4529ef%2Fhfmrbqe_processed.png&w=3840&q=75)
Transcribed Image Text:State which property of determinants is illustrated in this equation.
- 5
- 1
- 7
- 5
- 1
- 7
- 10 - 3
- 1
20
8 7
3
8 7
3
Choose the correct answer below.
O A. If two rows of A are interchanged to produce B, then det B= - det A.
O B. IfA and B are square matrices, then det AB = (det A)(det B).
O C. If a multiple of one row of A is added to another row to produce matrix B, then det B = det A.
O D. If one row of A is multiplied by k to produce B, then det B = k• det A.
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