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Engineering Maths · Q168

Linear Algebra

Engineering and GATE · Engineering Maths · question 168

Q168

Given that the determinant of the matrix \[ [ array*20c 1&3&0 \\ 2&6&4 \\ - 1&0&2 array ]\] is -12, the determinant of the matrix \[ [ array*20c 2&6&0 \\ 4&12&8 \\ - 2&0&4 array ]\] is

Given that the determinant of the matrix \left[ {\begin{array}{*{20}{c}} 1&3&0 \\ 2&6&4 \\ { - 1}&0&2 \end{array}} \right]  is -12, the determinant of the matrix \left[ {\begin{array}{*{20}{c}} 2&6&0 \\ 4&{12}&8 \\ { - 2}&0&4 \end{array}} \right]  is
A.
-96
Answer
B.
-24
C.
24
D.
96

Answer: Option A

Solution

Answer: Option A
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