Jee Advanced
Matrices And Determinants
JEE Advanced 2021 Paper 1 Online
MCQM+4 / -22021
For any 3 \(\times\) 3 matrix M, let | M | denote the determinant of M. Let
\(E = \left[ {\matrix{ 1 & 2 & 3 \cr 2 & 3 & 4 \cr 8 & {13} & {18} \cr } } \right]\), \(P = \left[ {\matrix{ 1 & 0 & 0 \cr 0 & 0 & 1 \cr 0 & 1 & 0 \cr } } \right]\) and \(F = \left[ {\matrix{ 1 & 3 & 2 \cr 8 & {18} & {13} \cr 2 & 4 & 3 \cr } } \right]\)
If Q is a nonsingular matrix of order 3 \(\times\) 3, then which of the following statements is(are) TRUE?
\(E = \left[ {\matrix{ 1 & 2 & 3 \cr 2 & 3 & 4 \cr 8 & {13} & {18} \cr } } \right]\), \(P = \left[ {\matrix{ 1 & 0 & 0 \cr 0 & 0 & 1 \cr 0 & 1 & 0 \cr } } \right]\) and \(F = \left[ {\matrix{ 1 & 3 & 2 \cr 8 & {18} & {13} \cr 2 & 4 & 3 \cr } } \right]\)
If Q is a nonsingular matrix of order 3 \(\times\) 3, then which of the following statements is(are) TRUE?