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Unformatted text preview: c + di) = a + c + (b + d)i Complex number review
• Adding two complex numbers: (a + bi) + (c + di) = a + c + (b + d)i Complex number review
• Adding two complex numbers: (a + bi) + (c + di) = a + c + (b + d)i
• Multiplying two complex numbers: (a + bi)(c + di) = ac − bd + (ad + bc)i Complex number review
• Adding two complex numbers: (a + bi) + (c + di) = a + c + (b + d)i
• Multiplying two complex numbers: (a + bi)(c + di) = ac − bd + (ad + bc)i Complex number review
• Adding two complex numbers: (a + bi) + (c + di) = a + c + (b + d)i
• Multiplying two complex numbers: (a + bi)(c + di) = ac − bd + (ad + bc)i Complex number review
• Adding two complex numbers: (a + bi) + (c + di) = a + c + (b + d)i
• Multiplying two complex numbers: (a + bi)(c + di) = ac − bd + (ad + bc)i
• Dividing by a complex number: 1
(a + bi)/(c + di) = (a + bi)
(c + di) Complex number review
• Adding two complex numbers: (a + bi) + (c + di) = a + c + (b + d)i
• Multiplying two complex numbers: (a + bi)(c + di) = ac − bd + (ad + bc)i
• Dividing by a complex number: 1
(a + bi)/(c + di) = (a + bi)
(c + di) • What is the inverse of c+di? Complex number review
• What is the inverse of c+di?
(A) c − di (C) (B) c + di
c2 + d2 (D) • Dividing by a complex number: c − di
c2 + d2
1
c − di Complex number review
• What is the inverse of c+di?
(A) c − di (C) (B) c + di
c2 + d2 (D) c − di
c2 + d2
1
c − di c − di
c + d − (cd − dc)i
(c + di) 2
=
=1
2
2 + d2
c +d
c
2 • Dividing by a complex number: 2 Complex number review
• What is the inverse of c+di?
(A) c − di (C) (B) c + di
c2 + d2 (D) c − di
c2 + d2
1
c − di c − di
c + d − (cd − dc)i
(c + di) 2
=
=1
2
2 + d2
c +d
c
2 • Dividing by a complex number: 2 Complex number review
• What is the inverse of c+di?
(A) c − di (C) (B) c + di
c2 + d2 (D) c − di
c2 + d2
1
c − di c − di
c + d − (cd − dc)i
(c + di) 2
=
=1
2
2 + d2
c +d
c
2 • Dividing by a complex number: 2 Complex number review
• What is the inverse of c+di?
(A) c − di (C) (B) c + di
c2 + d2 (D) c − di
c2 + d2
1
c − di c − di
c + d − (cd − dc)i
(c + di) 2
=
=1
2
2 + d2
c +d
c
2 • Dividing by a complex number: (a + bi)/(c + di...
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 Spring '13
 EricCytrynbaum
 Differential Equations, Equations, Complex Numbers

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