1
GATE ME 2010
MCQ (Single Correct Answer)
+1
-0.3
One of the eigen vector of the matrix $$A = \left[ {\matrix{ 2 & 2 \cr 1 & 3 \cr } } \right]$$ is
A
$$\left[ {\matrix{ 2 \cr { - 1} \cr } } \right]$$
B
$$\left[ {\matrix{ 2 \cr 1 \cr } } \right]$$
C
$$\left[ {\matrix{ 4 \cr 1 \cr } } \right]$$
D
$$\left[ {\matrix{ 1 \cr { - 1} \cr } } \right]$$
2
GATE ME 2009
MCQ (Single Correct Answer)
+1
-0.3
For a matrix $$\left[ M \right] = \left[ {\matrix{ {{3 \over 5}} & {{4 \over 5}} \cr x & {{3 \over 5}} \cr } } \right].$$ The transpose of the matrix is equal to the inverse of the matrix, $${\left[ M \right]^T} = {\left[ M \right]^{ - 1}}.$$ The value of $$x$$ is given by
A
$${ - {4 \over 5}}$$
B
$${ - {3 \over 5}}$$
C
$${{3 \over 5}}$$
D
$${{4 \over 5}}$$
3
GATE ME 2008
MCQ (Single Correct Answer)
+1
-0.3
The matrix $$\left[ {\matrix{ 1 & 2 & 4 \cr 3 & 0 & 6 \cr 1 & 1 & P \cr } } \right]$$ has one eigen value to $$3.$$ The sum of the other two eigen values is
A
$$p$$
B
$$p-1$$
C
$$p-2$$
D
$$p-3$$
4
GATE ME 2008
MCQ (Single Correct Answer)
+1
-0.3
For what values of 'a' if any will the following system of equations in $$x, y$$ and $$z$$ have a solution? $$2x+3y=4,$$$$$x+y+z=4,$$$ $$x+2y-z=a$$\$
A
any real number
B
$$0$$
C
$$1$$
D
there is no such value
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