# Linear Algebra - Linear Algebra

 A. -76 B. -28 C. +28 D. +72 Answer Report Discuss Option: B Explanation : =5(20-30) - 3(10-18) + 2(5-6) = -50 + 24 - 2 = -28 Click on Discuss to view users comments. Write your comments here:
37:

The solution(s) to the equations
2x + 3y = 1
x- y = 4
4x - y = a
will exist if a is equal to

 A. -33 B. 0 C. 9 D. 12 Answer Report Discuss Option: D Explanation : Equations are consistent when,   5a - 7 - 52 = 0 Click on Discuss to view users comments. Write your comments here:
38:

The system of simultaneous equations
x + 2y + z = 6
2x + y + 2z = 6
x + y + z = 5
has

 A. unique solution B. infinite number of solutions C. no solution D. exactly two solutions Answer Report Discuss Option: C Explanation : Given equations are; x + 2y + z = 6; 2x + y + 2z = 6; x + y + z = 5 Given system can be written as Applying row operation   Applying  Since rank of co-efficient matrix is 2 and rank of argument matrix is 3, which is not equal. Hence system has no solution. Click on Discuss to view users comments. Write your comments here:
 A. B. C. D. Answer Report Discuss Write your comments here:
40:

Eigen values of the matrix

 -1 4 4 -1

are
 A. 3 and -5 B. -3 and 5 C. -3 and -5 D. 3 and 5 Answer Report Discuss Option: A Explanation : Click on Discuss to view users comments. Write your comments here: