Determine which property of determinants the equation illustrates. 1 2 8. 1 4 4 -7 -4 4 1 -4 4 1 1 4 4 -7 1 2 8 -5 3 8 8 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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Determine which property of determinants the equation illustrates.
1
2
8.
1
4
4
-7
-4
4
1
-4
4
1
1
4
4
-7
1
2
8
-5
3
8
8
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 2 8. 1 4 4 -7 -4 4 1 -4 4 1 1 4 4 -7 1 2 8 -5 3 8 8 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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