1
GATE EE 1994
MCQ (Single Correct Answer)
+1
-0.3
$$A$$ $$\,\,5 \times 7$$ matrix has all its entries equal to $$1.$$ Then the rank of a matrix is
A
$$7$$
B
$$5$$
C
$$1$$
D
Zero
2
GATE EE 1994
MCQ (Single Correct Answer)
+1
-0.3
The eigen values of the matrix $$\left[ {\matrix{ a & 1 \cr a & 1 \cr } } \right]$$ are
A
$$(a+1),0$$
B
$$a,0$$
C
$$(a-1),0$$
D
$$0,0$$
3
GATE EE 1994
MCQ (Single Correct Answer)
+1
-0.3
The number of linearly independent solutions of the system of equations
$$\left[ {\matrix{ 1 & 0 & 2 \cr 1 & { - 1} & 0 \cr 2 & { - 2} & 0 \cr } } \right]\,\,\left[ {\matrix{ {{x_1}} \cr {{x_2}} \cr {{x_3}} \cr } } \right] = 0$$ is equal to
A
$$1$$
B
$$2$$
C
$$3$$
D
$$0$$
4
GATE EE 1994
MCQ (Single Correct Answer)
+1
-0.3
The integration of $$\int {{\mathop{\rm logx}\nolimits} \,dx} $$ has the value
A
$$\left( {x\log x - 1} \right)$$
B
$${\log x - x}$$
C
$$x\left( {\log x - 1} \right)$$
D
None of the above
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