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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.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section6.4: Determinants And Cramer’s Rule
Problem 74E
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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.
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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