1
GATE CSE 2019
MCQ (Single Correct Answer)
+1
-0.33
Let X be a square matrix. Consider the following two statements on X.
I. X is invertible.
II. Determinant of X is non-zero.
Which one of the following is TRUE?
I. X is invertible.
II. Determinant of X is non-zero.
Which one of the following is TRUE?
2
GATE CSE 2018
Numerical
+1
-0
Consider a matrix $$A = u{v^T}$$ where $$u = \left( {\matrix{
1 \cr
2 \cr
} } \right),v = \left( {\matrix{
1 \cr
1 \cr
} } \right).$$ Note that $${v^T}$$ denotes the transpose of $$v.$$ The largest eigenvalue of $$A$$ is _____.
Your input ____
3
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 ____
4
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
Questions Asked from Linear Algebra (Marks 1)
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