Determine which property of determinants the equation illustra 1 3 0 0 9 8 -7 4 0 = 0

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.1: The Determinants Of A Matrix
Problem 70E: The determinant of a 22 matrix involves two products. The determinant of a 33 matrix involves six...
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Determine which property of determinants the equation illustrates.
6.
-9
1
8
-5
-3
3.
1
-3
1
8.
-5
1
6.
-9
9.
8
9.
3
8
If one row (or column) of a matrix is a multiple of another row (or column), then the determinant of the matrix
is zero.
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. 6. -9 1 8 -5 -3 3. 1 -3 1 8. -5 1 6. -9 9. 8 9. 3 8 If one row (or column) of a matrix is a multiple of another row (or column), then the determinant of the matrix is zero. 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
Determine which property of determinants the equation illustrates.
1 3
4
0 0
ol = 0
9 8
-71
O If one row of a matrix is a multiple of another row, 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 columns 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 3 4 0 0 ol = 0 9 8 -71 O If one row of a matrix is a multiple of another row, 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 columns 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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