1
GATE ME 2009
+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
$${{4 \over 5}}$$
2
GATE ME 2008
+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
$$p-3$$
3
GATE ME 2008
+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
4
GATE ME 2007
+1
-0.3
If a square matrix $$A$$ is real and symmetric then the eigen values
A
are always real
B
are always real and positive
C
are always real and non-negative
D
occur in complex conjugate pairs
GATE ME Subjects
EXAM MAP
Medical
NEET