Classical

Linear Algebra - Linear Algebra

16:  

Rank of the matrix

 
0 0 -3
9 3 5
3 1 1
 
A. 0
B. 1
C. 2
D. -1
 
 

Option: C

Explanation :


17:  

Rank of matrix 

 
1 4 8 7
0 0 3 0
4 3 2 1
3 12 24 2
 
A. 3
B. 1
C. 2
D. 4
 
 

Option: D

Explanation :


18:  

Eigen vector(s) of the matrix

 
0 0 α
0 0 0
0 0 0
 

is(are)

A.

(0,0 ,α)

B.

(α,0,0)

C.

(0,0,1)

D.

(0,α,0)

 
 

Option: D

Explanation :


19:  

Determinant of the matrix

 
1 0 0 0
100 1 0 0
100 200 1 0
100 200 300 1
 
is

 

A.

100

B.

200

C.

1

D.

0

 
 

Option: C

Explanation :




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