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If a matrix A is given by f(x) = a0 + a1x + a2x2+…+ an−1xn−1 + anxn, then the determinant of A is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If a matrix A is given byf(x) = a0 + a1x + a2x2+…+ an−1xn...
matrix ‘A’ ⇒ f(x) = a+ a1x + a2x+……….+an−1xn−1 + anxnf(x)
if 2 × 2 matrix then characteristic equation  ⇒ aλ+ bλ + c = 0
⇒ |A| = λ12. = c/a
where ao = c;an = a2 = a 
if 3 × 3 matrix → then characteristic equation ⇒ aλ+ bλ+ cλ + d = 0

∴ For n × n matrix, |A| = λ123….λn
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Most Upvoted Answer
If a matrix A is given byf(x) = a0 + a1x + a2x2+…+ an−1xn...
Can you explain this answer?? and correct answer is option 'c'..
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