1
GATE CSE 2006
MCQ (Single Correct Answer)
+2
-0.6
What are the eigen values of the matrix $$P$$ given below?
$$$P = \left( {\matrix{
a & 1 & 0 \cr
1 & a & 1 \cr
0 & 1 & a \cr
} } \right)$$$
2
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-0.6
Consider the set $$H$$ of all $$3$$ $$X$$ $$3$$ matrices of the type
$$$\left[ {\matrix{
a & f & e \cr
0 & b & d \cr
0 & 0 & c \cr
} } \right]$$$
Where $$a, b, c, d, e$$ and $$f$$ are real numbers and $$abc$$ $$ \ne \,\,0$$. Under the matrix multiplication operation, the set $$H$$ is:
3
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-0.6
What are the eigen values of the following $$2x2$$ matrix?
$$$\left[ {\matrix{
2 & { - 1} \cr
{ - 4} & 5 \cr
} } \right]$$$
4
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-0.6
Consider the following system of equations in three real variables $$x1, x2$$ and $$x3$$ :
$$2x1 - x2 + 3x3 = 1$$
$$3x1 + 2x2 + 5x3 = 2$$
$$ - x1 + 4x2 + x3 = 3$$
This system of equations has
$$2x1 - x2 + 3x3 = 1$$
$$3x1 + 2x2 + 5x3 = 2$$
$$ - x1 + 4x2 + x3 = 3$$
This system of equations has
Questions Asked from Linear Algebra (Marks 2)
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