Mechanical Engineering > GATE 2015 SET-1 > Linear Algebra
If any two columns of a determinant are interchanged, which one of the following statements regarding the value of the determinant is CORRECT?
A
Absolute value remains unchanged but sign will change.
B
Both absolute value and sign will change.
C
Absolute value will change but sign will not change.
D
Both absolute value and sign will remain unchanged.

Correct : a

Similar Questions

Let I be a 100 dimensional identity matrix and E be the set of its distinct (no value appears more than once in E) real eigenvalues. The number of elements in...
#69 Fill in the Blanks
The matrix (where a > 0) has a negative eigenvalue if a is greater than
#193 MCQ
A linear transformation maps a point (x', y') in the plane to the point (x,y) according to the rule x'=3y y'=2x. Then, the disc x2+y2≤1. gets transformed to a r...
#240 Fill in the Blanks

Related Topics

determinant properties interchanging columns determinant GATE mechanical engineering 2015 mechanical gate sign change determinant absolute value unchanged sign changes determinant determinant sign change GATE set 1 question 16

Unique Visitor Count

Total Unique Visitors

Loading......