Question

$if \: {a}^{b} = {b}^{a} \: then \: find \: \: ({ \frac{a}{b} })^{ \frac{a}{b} }$
​

Answer 1

Answer:

Let A=[

a

c

c

l

]

B=[

d

f

f

e

]

AB=[

(ad+cf)

(cd+lf)

(af+ce)

(cf+le)

]

BA=[

(da+fc)

(fa+ce)

(dc+lf)

(fc+le)

]

AB−BA=[

0

−[(af+ce)−(dc+lf)]

af+ce−(dc+lf)

0

]

∴ skew symmetric matrix.