Question

10. If A=[a 2
2 a] and a^3=125 then find”a"​

Answer 1

Answer:

Step-by-step explanation:

A=∣∣∣α22α∣∣∣

∣A3∣=125

⇒∣A∣=α2−4

⇒∣A∣3=125

(α2−4)3=125

(α2−4)3=53

α2−4=5

α2=9

α=±3

Answer 2

Answer:

a=±3

Step-by-step explanation:

lAl³=125

lAl³=5³

lAl=5---------------------------(1)

also, lAl=a²-4-------------------------(2)

From (1) and (2)

a²-4=5

a²=4+5

a²=9

so, a=±3

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