1
GATE CSE 2017 Set 2
Numerical
+1
-0
Let $$P = \left[ {\matrix{
1 & 1 & { - 1} \cr
2 & { - 3} & 4 \cr
3 & { - 2} & 3 \cr
} } \right]$$ and $$Q = \left[ {\matrix{
{ - 1} & { - 2} & { - 1} \cr
6 & {12} & 6 \cr
5 & {10} & 5 \cr
} } \right]$$ be two matrices.
Then the rank of $$P+Q$$ is _______.
Then the rank of $$P+Q$$ is _______.
Your input ____
2
GATE CSE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Let $${c_1},.....,\,\,{c_n}$$ be scalars, not all zero, such that $$\sum\limits_{i = 1}^n {{c_i}{a_i} = 0} $$ where $${{a_i}}$$ are column vectors in $${R^{11}}.$$ Consider the set of linear equations $$AX=b$$
Where $$A = \left[ {{a_1},.....,\,\,{a_n}} \right]$$ and $$b = \sum\limits_{i = 1}^n {{a_i}.} $$
The set of equations has
3
GATE CSE 2016 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Consider the system, each consisting of m linear equations in $$n$$ variables.
$$I.$$ $$\,\,\,$$ If $$m < n,$$ then all such system have a solution
$$II.$$ $$\,\,\,$$ If $$m > n,$$ then none of these systems has a solution
$$III.$$ $$\,\,\,$$ If $$m = n,$$ then there exists a system which has a solution
$$I.$$ $$\,\,\,$$ If $$m < n,$$ then all such system have a solution
$$II.$$ $$\,\,\,$$ If $$m > n,$$ then none of these systems has a solution
$$III.$$ $$\,\,\,$$ If $$m = n,$$ then there exists a system which has a solution
Which one of the following is CORRECT?
4
GATE CSE 2016 Set 2
Numerical
+1
-0
Suppose that the eigen values of matrix $$A$$ are $$1, 2, 4.$$ The determinant of $${\left( {{A^{ - 1}}} \right)^T}$$ is _______.
Your input ____
Questions Asked from Linear Algebra (Marks 1)
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