1
GATE ME 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
If any two columns of a determinant $$P = \left| {\matrix{ 4 & 7 & 8 \cr 3 & 1 & 5 \cr 9 & 6 & 2 \cr } } \right|$$ 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 valu and sign will change
C
Absolute value will change but sign will not change.
D
Both absolute value and sign will remain unchanged.
2
GATE ME 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Given that the determinant of the matrix $$\left[ {\matrix{ 1 & 3 & 0 \cr 2 & 6 & 4 \cr { - 1} & 0 & 2 \cr } } \right]$$ is $$-12$$, the determinant of the matrix $$\left[ {\matrix{ 2 & 6 & 0 \cr 4 & {12} & 8 \cr { - 2} & 0 & 4 \cr } } \right]$$ is
A
$$-96$$
B
$$-24$$
C
$$24$$
D
$$96$$
3
GATE ME 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Which one of the following describes the relationship among the three vectors, $$\widehat i + \widehat j + \widehat k,\,\,2\widehat i + 3\widehat j + \widehat k$$ and $$5\widehat i + 6\widehat j + 4\widehat k?$$
A
The vectors are mutually perpendicular
B
The vectors are linearly dependent
C
The vectors are linearly independent
D
The vectors are unit vectors
4
GATE ME 2014 Set 4
MCQ (Single Correct Answer)
+1
-0.3
Which one of the following equations is a correct identity for arbitrary $$3 \times 3$$ real matrices $$P,Q$$ and $$R$$?
A
$$P(Q+R)=PQ+RP$$
B
$${\left( {P - Q} \right)^2} = {P^2} - 2PQ + {Q^2}$$
C
$$\det \,\,\left( {P + Q} \right) = \det \,P + \det \,Q$$
D
$${\left( {P + Q} \right)^2} = {P^2} + PQ + QP + {Q^2}$$
GATE ME Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12