Linear Algebra - Linear Algebra

31:  

Rank   of   the   matrix  
 
1 1
0 0
 
is
A.

4

B.

2

C.

1

D.

0

 
 

Option: C

Explanation :

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32:  

Inverse of the matrix is


1192
A. 1192
B. 1192
C. 1192
D. 1192
 
 

Option: C

Explanation :

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33:  

The system of equations

2x + 4y = 10,

5x + 10y = 25 has

A.

no solution

B.

only one solution

C.

only two solutions

D.

infinite solutions

 
 

Option: D

Explanation :

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34:  

For the following set of simulataneous equations:
1.5x - 0.5y = 2
4x + 2y + 3z = 9
7x+ y + 5z = 10
 

A.

solution is unique

B.

infinitely many solutions exist

C.

equations are incompatible

D.

finite number of multiple solutions exists

 
 

Option: A

Explanation :

By solving the equations, we will get x=178/11 , y=49/11 and z= -237/11. So the answer is 'A

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35:  

If matrix A is m x n and B is nx p, then number of multiplication operations and addition operations needed to calculate the matrix AB, respectively are

A.

mn2p,mpn

B.

mpn,(n-1)

C.

mpn,mpn

D.

mn2p, (m+p)n

 
 

Option: B

Explanation :

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