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Linear Algebra MCQ Level - 2 - Question 1

The system of the equations,

*x* – 4*y* + 7*z* = 14

3*x* + 8*y* – 2*z* = 13

7*x* – 8*y* + 26*z* = 5

is :

Detailed Solution for Linear Algebra MCQ Level - 2 - Question 1

Detailed Solution for Linear Algebra MCQ Level - 2 - Question 2

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Linear Algebra MCQ Level - 2 - Question 3

For what values of ** k**, the given system of equations will have a unique solution?

2

x + 2(k + 1)y + (3k + 4)z = 0

Detailed Solution for Linear Algebra MCQ Level - 2 - Question 3

Linear Algebra MCQ Level - 2 - Question 4

Which of the following will satisfy the given system?

2*x*_{1} – 3*x*_{2} – 6*x*_{3} – 5*x*_{4} + 2*x*_{5} = 7

*x*_{3} + 3*x*_{4} – 7*x*_{5} = 6

x_{4} – 2x_{5} = 1

Detailed Solution for Linear Algebra MCQ Level - 2 - Question 4

Linear Algebra MCQ Level - 2 - Question 5

The system of equations,

*x* + *y* + *z* = 0

2*x* – *y* – 3*z* = 0

3*x* – 5*y* + 4*z* = 0

*x* + 17*y* + 4*z* = 0

Will have :

Detailed Solution for Linear Algebra MCQ Level - 2 - Question 5

Linear Algebra MCQ Level - 2 - Question 6

Choose the correct option about the system,

3*x* + *y* + *z* = 8

–*x* + *y* – 2*z* = –5

*x* + *y* + *z* = 6

–2*x* + 2*y* – 3*z* = –7

Detailed Solution for Linear Algebra MCQ Level - 2 - Question 6

Linear Algebra MCQ Level - 2 - Question 7

A necessary and sufficient condition that values, not all zero may be assigned to n variables x_{1}, x_{2}, ......., x_{n} so that the homogeneous equations, a_{i1}x_{1} + a_{i2}x_{2} + ..... + a_{in}x_{n} = 0 (i = 1, 2,.....n) hold simultaneously, is :

Detailed Solution for Linear Algebra MCQ Level - 2 - Question 7

Linear Algebra MCQ Level - 2 - Question 8

Consider the following statements about the given system of equations,

*x* + 2*y* + 3*z* = 0

3*x* + 4*y* + 4*z* = 0

7*x* + 10*y* + 12*z* = 0

and choose the correct one

Detailed Solution for Linear Algebra MCQ Level - 2 - Question 8

Detailed Solution for Linear Algebra MCQ Level - 2 - Question 9

Detailed Solution for Linear Algebra MCQ Level - 2 - Question 10

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