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Consider the following system of linear equations
Notice that the second and the third columns of the coefficient matrix are linearly dependent. For how many values of , does this system of equations have infinitely many solutions?
  • a)
    0
  • b)
    1
  • c)
    2
  • d)
    3
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider the following system of linear equationsNotice that the secon...
Determinant=0. Therefore apply reduction method on (A|B)
 obtain the resultant matrix

or infinitely many solutions, we must have 2+1.5a=0 i.e., a=-4/3 so for only 1 value of a, this system has infinitely many solutions. So option (B) is correct.
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Consider the following system of linear equationsNotice that the second and the third columns of the coefficient matrix are linearly dependent. For how many values of , does this system of equations have infinitely many solutions?a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer?
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