If |c| is 103 times greater than |a|, |b|, and |d|, to which of a, b, c, and d is the value of the determinant most sensitive?
Question
If |c| is 103 times greater than |a|, |b|, and |d|, to which of a, b, c, and d is the value of the determinant most sensitive?
Solution 1
The determinant of a matrix is most sensitive to changes in its largest elements. In this case, since |c| is 103 times greater than |a|, |b|, and |d|, the determinant is most sensitive to changes in the value of c.
Solution 2
The determinant of a matrix is most sensitive to changes in its largest elements. In this case, since |c| is 103 times greater than |a|, |b|, and |d|, the determinant is most sensitive to changes in c.
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