Let A be a 5 x 5 matrix with det(A) = −1. 1. If the matrix B is obtained from A by adding 7 times the fourth row to the second, then det (B) = 2. If the matrix C is obtained from A by swapping the second and fourth rows, then det (C) = 3. If the matrix D is obtained from A by multiplying the second row by 7, then det (D) =

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Chapter6: Linear Systems
Section6.3: Matrix Algebra
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Let A be a 5 x 5 matrix with det(A) = −1.
1. If the matrix B is obtained from A by adding 7 times the fourth row to the second, then
det (B) =
2. If the matrix C is obtained from A by swapping the second and fourth rows, then
det (C) = 0
3. If the matrix D is obtained from A by multiplying the second row by 7, then
det (D) =
Transcribed Image Text:Let A be a 5 x 5 matrix with det(A) = −1. 1. If the matrix B is obtained from A by adding 7 times the fourth row to the second, then det (B) = 2. If the matrix C is obtained from A by swapping the second and fourth rows, then det (C) = 0 3. If the matrix D is obtained from A by multiplying the second row by 7, then det (D) =
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