Matrices and Determinants 2 Question 28

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31. Let pλ4+qλ3+rλ2+sλ+t=λ2+3λλ1λ+3 λ+12λλ4 λ3λ+43λ be an identity in λ, where p,q,r,s and t are constants. Then, the value of t is…. .

======= ####31. Let pλ4+qλ3+rλ2+sλ+t

=|λ2+3λλ1λ+3λ+12λλ4λ3λ+43λ| be an identity in λ, where p,q,r,s and t are constants. Then, the value of t is…. .

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed

(1981, 2M)

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Answer:

Correct Answer: 31. (0)

Solution:

  1. Given, |λ2+3λλ1λ+3λ+12λλ4λ3λ+43λ|

=pλ4+qλ3+rλ2+sλ+t

Thus, the value of t is obtained by putting λ=0.

|013104340|=tt=0

[ determinants of odd order skew-symmetric matrix is zero]



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