Determine which property of determinants the equation illustrates. 1 4 -1 -2 = - -1 -2 6. 2 6. 7. 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. 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

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 75E
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Determine which property of determinants the equation illustrates.
1
4
1
4
-1
-2
-1
-2
6.
7
2
6.
2
7
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.
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 4 1 4 -1 -2 -1 -2 6. 7 2 6. 2 7 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. 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.
4 5
3 -4
3
-3 4
-3
7 3
5 7
3
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. 4 5 3 -4 3 -3 4 -3 7 3 5 7 3 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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