Matrices and Determinants 2 Question 14

16. If A=|α22α| and |A3|=125, then the value of α is

(a) ±1

(b) ±2

(c) ±3

(d) ±5

Show Answer

Answer:

Correct Answer: 16. (c)

Solution:

  1. We know, |An|=|A|n

Since,

|A3|=125⇒|A|3=125

⇒|α22α|=5⇒α2−4=5⇒α=±3

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