If \( z \) is any complex number and \( \bar{z} \) its conjugate, then prove that \( z^{-1}=\fra... VIDEO
If \( z \) is any complex number and \( \bar{z} \) its conjugate, then prove that \( z^{-1}=\frac{\bar{z}}{|z|^{2}} \), where \( z \neq 0 \).
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2022-11-16 A potential difference \( V \) is connected across a device with resistance \( R \), causing cur... 2022-11-16 If \( \lim _{x \rightarrow 2} \frac{x^{n}-2^{n}}{x-2}=80 \) and \( n \in N \), then find the val... 2022-11-16 An electric dipole of moment \( p \) is placed in the position of stable equilibrium in uniform ... 2022-11-16 Heat cannot by itself be transfered from a body at lower temperature to another body at higher t... 2022-11-16 A ball of mass \( 0.2 \mathrm{~kg} \) rests on a vertical post of height \( 5 \mathrm{~m} \). A ... 2022-11-16 In some succulent plants like Opuntia the R. Q. is zero because
(A) \( \mathrm{CO}_{2} \) is rel... 2022-11-16 In a collinear collision, a particle with an initial speed \( v_{0} \) strikes a stationary part... 2022-11-16 ऐसीटिक अम्ल से प्रारम्भ करके निम्नलिखित कैसे प्राप्त कीजिएगा? एथेन 2022-11-16 Why does electrochemical cell stop working after sometime? 2022-11-16 The density of a rod continuously increases from \( A \) to \( B \). It is easier to set it into... 2022-11-16 If \( z \) is any complex number and \( \bar{z} \) its conjugate, then prove that \( z^{-1}=\fra... 2022-11-16 दैहिक गुणसूत्र एवं लैंगिक गुणसूत्र में अन्तर बताइए। 2022-11-16 Two circular discs \( A \) and \( B \) are of equal masses and thicknesses but made of metal wit... 2022-11-16 From a given sample of uniform wire, two circular loops \( P \) and \( Q \) are made, \( P \) of... 2022-11-16 The bile duct and the pancreatic duct open together into the duodenum as the
(A) hepato-pancreat... 2022-11-16 Four identical rods are joined end to end to form a square. The mass of each rod is \( M \). The... 2022-11-16 the origin and syslematic position of Poiferen 2022-11-16 When \( \mathrm{H}_{2} \mathrm{O}_{2} \) is oxidised by suitable oxidant, one of the products is... 2022-11-16 On moving a charge of \( 20 \mathrm{C} \) by \( 2 \mathrm{~cm}, 2 \mathrm{~J} \) of work is done... 2022-11-16 \( 2 \mathrm{pF}, 3 \mathrm{pF} \) और \( 4 \mathrm{pF} \) धारिता वाले तीन संधारित्र पार्श्वक्रम ... 2022-11-16 पूर्ण ओजोनीकरण पर, ऑक्सीजन के छह आयतन, ओजोन के कितने आयतन बनाते हैं? (A) 2 (B) 3 (C) 4 (D) 6