1
GATE CSE 2004
MCQ (Single Correct Answer)
+2
-0.6
In an M$$ \times $$N matrix such that all non-zero entries are covered in $$a$$ rows and $$b$$ columns. Then the maximum number of non-zero entries, such that no two are on the same row or column, is
2
GATE CSE 2004
MCQ (Single Correct Answer)
+2
-0.6
If matrix $$X = \left[ {\matrix{
a & 1 \cr
{ - {a^2} + a - 1} & {1 - a} \cr
} } \right]$$
and $${X^2} - X + 1 = 0$$
($${\rm I}$$ is the identity matrix and $$O$$ is the zero matrix), then the inverse of $$X$$ is
and $${X^2} - X + 1 = 0$$
($${\rm I}$$ is the identity matrix and $$O$$ is the zero matrix), then the inverse of $$X$$ is
3
GATE CSE 2004
MCQ (Single Correct Answer)
+2
-0.6
Let $$A$$ be and n$$ \times $$n matrix of the folowing form.
What is the value of the determinant of $$A$$?
4
GATE CSE 2004
MCQ (Single Correct Answer)
+2
-0.6
How many solutions does the following system of linear equations have?
- x + 5y = - 1
x - y = 2
x + 3y = 3
- x + 5y = - 1
x - y = 2
x + 3y = 3
Questions Asked from Linear Algebra (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
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