Let A be a 4 x 4 matrix with det(A) = −10. 1. If the matrix B is obtained from A by adding 7 times the fourth row to the first, then det (B) = 2. If the matrix C is obtained from A by swapping the first and fourth rows, then det(C)= 3. If the matrix D is obtained from A by multiplying the first row by 7, then det (D) =

Elementary Linear Algebra (MindTap Course List)
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Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 77E
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Let 4 be a 4 x 4 matrix with det(A) = –10.
1. If the matrix B is obtained from A by adding 7 times the fourth row to the first, then
det (B) =
2. If the matrix C is obtained from A by swapping the first and fourth rows, then
det (C)=
3. If the matrix D is obtained from A by multiplying the first row by 7, then
det(D) = []
Transcribed Image Text:Let 4 be a 4 x 4 matrix with det(A) = –10. 1. If the matrix B is obtained from A by adding 7 times the fourth row to the first, then det (B) = 2. If the matrix C is obtained from A by swapping the first and fourth rows, then det (C)= 3. If the matrix D is obtained from A by multiplying the first row by 7, then det(D) = []
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