1
GATE ME 2015 Set 3
Numerical
+1
-0
The lowest eigen value of the $$2 \times 2$$ matrix $$\left[ {\matrix{ 4 & 2 \cr 1 & 3 \cr } } \right]$$ is ______.
Your input ____
2
GATE ME 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
At least one eigenvalue of a singular matrix is
A
positive
B
zero
C
negative
D
imaginary
3
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.
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
$${\left( {P + Q} \right)^2} = {P^2} + PQ + QP + {Q^2}$$
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