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8. Solution of Simultaneous Linear Equations
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Q8 of 75 Page 8

Mark the correct alternative in the following:

For the system of equations:


x + 2y + 3z = 1


2x + y + 3z = 2


5x + 5y + 9z = 4


For the system of equations:


x + 2y + 3z = 1


2x + y + 3z = 2


5x + 5y + 9z = 4


The matrix equation corresponding to the above system is



Let A =


|A| = = 1(9-8) -2(18-15) +3(10-5) = 1-6+15 = 10


i.e., |A| 0


Hence, a unique solution exists of the above system.

More from this chapter

All 75 →
6

Mark the correct alternative in the following:

Consider the system of equations:


a1x + b1y + c1z = 0


a2x + b2y + c2z = 0


a3x + b3y + c3z = 0


If then the system has


7

Mark the correct alternative in the following:

Let a, b, c be positive real numbers. The following system of equations in x, y and z


has


9

Mark the correct alternative in the following:

The existence of the unique solution of the system of equations:


x + y + z = λ


5x – y + μz = 10


2x + 3y – z = 6 depends on


10

Mark the correct alternative in the following:

The system of equations:


x + y + z = 5


x + 2y + 3z = 9


x + 3y + λz = μ


has a unique solution, if


Questions · 75
8. Solution of Simultaneous Linear Equations
1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 5 6 7 8 8 8 8 8 9 10 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6
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