1
GATE CSE 2010
MCQ (Single Correct Answer)
+1
-0.3
Consider the following matrix $$A = \left[ {\matrix{
2 & 3 \cr
x & y \cr
} } \right].$$
If the eigen values of $$A$$ are $$4$$ and $$8$$ then
If the eigen values of $$A$$ are $$4$$ and $$8$$ then
2
GATE CSE 2008
MCQ (Single Correct Answer)
+1
-0.3
The following system of equations
$${x_1}\, + \,{x_2}\, + 2{x_3}\, = 1$$
$${x_1}\, + \,2 {x_2}\, + 3{x_3}\, = 2$$
$${x_1}\, + \,4{x_2}\, + a{x_3}\, = 4$$ has a unique solution. The only possible value (s) for $$\alpha $$ is/are
$${x_1}\, + \,{x_2}\, + 2{x_3}\, = 1$$
$${x_1}\, + \,2 {x_2}\, + 3{x_3}\, = 2$$
$${x_1}\, + \,4{x_2}\, + a{x_3}\, = 4$$ has a unique solution. The only possible value (s) for $$\alpha $$ is/are
3
GATE CSE 2007
MCQ (Single Correct Answer)
+1
-0.3
Let $$A$$ be the matrix $$\left[ {\matrix{
3 & 1 \cr
1 & 2 \cr
} } \right]$$. What is the maximum value of $${x^T}Ax$$ where the maximum is taken over all $$x$$ that are the unit eigenvectors of $$A$$?
4
GATE CSE 2005
MCQ (Single Correct Answer)
+1
-0.3
The determination of the matrix given below is $$$\left[ {\matrix{
0 & 1 & 0 & 2 \cr
{ - 1} & 1 & 1 & 3 \cr
0 & 0 & 0 & 1 \cr
1 & { - 2} & 0 & 1 \cr
} } \right]$$$
Questions Asked from Linear Algebra (Marks 1)
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