Determine which property of determinants the equation illustrates. 1 3. 8 -9 6. 4 -7 -4 4. 0. 1 -4 4. 1 6. 4. -7 1 8. -9 9. 3 8. 9. 3 O If one row (or column) of a matrix is a multiple of another row (or column), then the determinant of the matrix is zero. O If one row of a matrix consists entirely of zeros, then the determinant of the matrix is zero. O If two rows of a matrix are interchanged, then the determinant of the matrix changes sign. O If a row of a matrix is multiplied by a scalar, then the determinant of the matrix is multiplied by that scalar. O none of these

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 18E
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Question
Determine which property of determinants the equation illustrates.
1
8.
-9
1
6.
4
-7
-4
4.
0.
1
-4
4.
1
1
6.
4.
-7
1
8.
-9
6.
3
8
9.
3
O If one row (or column) of a matrix is a multiple of another row (or column), then the determinant of the matrix is zero.
O If one row of a matrix consists entirely of zeros, then the determinant of the matrix is zero.
O If two rows of a matrix are interchanged, then the determinant of the matrix changes sign.
O If a row of a matrix is multiplied by a scalar, then the determinant of the matrix is multiplied by that scalar.
O none of these
Transcribed Image Text:Determine which property of determinants the equation illustrates. 1 8. -9 1 6. 4 -7 -4 4. 0. 1 -4 4. 1 1 6. 4. -7 1 8. -9 6. 3 8 9. 3 O If one row (or column) of a matrix is a multiple of another row (or column), then the determinant of the matrix is zero. O If one row of a matrix consists entirely of zeros, then the determinant of the matrix is zero. O If two rows of a matrix are interchanged, then the determinant of the matrix changes sign. O If a row of a matrix is multiplied by a scalar, then the determinant of the matrix is multiplied by that scalar. O none of these
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