1
GATE CSE 2002
Subjective
+2
-0
Obtain the eigen values of the matrix $$A = \left[ {\matrix{ 1 & 2 & {34} & {49} \cr 0 & 2 & {43} & {94} \cr 0 & 0 & { - 2} & {104} \cr 0 & 0 & 0 & { - 1} \cr } } \right]$$$2 GATE CSE 1998 MCQ (Single Correct Answer) +2 -0.6 The rank of the matrix given below is: $$\left[ {\matrix{ 1 & 4 & 8 & 7 \cr 0 & 0 & 3 & 0 \cr 4 & 2 & 3 & 1 \cr 3 & {12} & {24} & {2} \cr } } \right]$$$
A
3
B
1
C
2
D
4
3
GATE CSE 1998
+2
-0.6
Consider the following determinant $$\Delta = \left| {\matrix{ 1 & a & {bc} \cr 1 & a & {ca} \cr 1 & a & {ab} \cr } } \right|$$\$

Which of the following is a factor of $$\Delta$$ ?

A
$$a + b$$
B
$$a - b$$
C
$$a + b + c$$
D
$$abc$$
4
GATE CSE 1997
+2
-0.6
Let $$A = ({a_{ij}})$$ be and n-rowed square matrix and $${I_{12}}$$ be the matrix obtained by interchanging the first and second rows of the n-rowed Identity matrix. Then$${AI_{12}}$$ is such that its first
A
row is the same as its second row
B
row is the same as the second row of A
C
column is the same as the second column A
D
row is all zero
GATE CSE Subjects
EXAM MAP
Medical
NEET