• Calculate (4-3i)(6i) (i-2)(5+5i) (2)find (3i – 1)(5 + 2i)(i + 2)

Q: 1) (7+3i) + (5-4i) 2) (3+4i) - (5-3i) 3) (2i+ (-3-4i) -(-3-3i) and 4) (5-3i) + (3+5i)-(8+2i)

A: The given problems  1) (7+3i) + (5-4i)   2) (3+4i) - (5-3i)   3) (2i+ (-3-4i) -(-3-3i)   and 4)…

Q: (AB)-Ct=D [ 4 - i 6i 3 2 - i A = B = 12 -1 3) 2 + 3i 3 + 2i -4i 5 + 3il [-12 19 2 + i 5- 2i 6+i] [2…

A:

Q: 2 1 Cof (A) i A = (5 -2 9 -6 5 US I -1 3.

A: The given matrxi is:A=32153-29-65To find its cofactor

Q: [2+3i 1-4i A--si 8-4i ti -6 -4 -3+7i B-/-4-si -2. -3-i 2-3i 2i 6 -3+si 3+5i C = 8-Su 3-21 -3-i -4-2i

A: We have to add the given matrix.

Q: Calculate: 4+ 3i (a) -1- 3i (b) (1 + i)(3 – 4i)(4 – i) = i(2 + 2i)³ | (c) (3 – 2i)² ||

A: Given that: (a)4+3i-1-3i(b)(1+i)(3-4i)(4-i)(c)i(2+2i)3(3-2i)2   NOTE: As per our answering…

Q: 1. Simplify: (a) (7 – 2/3i) + (2 – V3i) (c) (7 – 2/3i)(2 – V3i) - (b) (7 – 2/3i) – (2 – V3i) 7– 2/3i…

A: as per guidelines, I can answer only one question.

Q: Add / subtract: A) (-1+ 2i) + (-2 + 5i) B) (2-3i) - (-2+ 3i)

A:

Q: 3 1. - 5i 3 - i 2. 2 - i

A: This is a problem of complex analysis.

Q: 3+i 3-i ) = 오 %3D 3-i

A:

Q: Find the square root of z =-15-8i. (A) -1+4i, 1+4i O (B) -1+ 4i, 1– 4i O (C)-1-8i, 1+ 8i O (D) -1+…

A: Given: z = -15 -8i To find: Square root of given complex number z

Q: 22 – (4+3i)z + (7+i) = 0. -

A:

Q: іa + (2 — i)234- 3і (1+ i)x – x2 = -3 – i |

A: The solution is given as

Q: (1+7i) а. 2i(4-i)

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: 7+8i 4+5i 6–3i 8-4i

A:

Q: 2.((7+8i)(4+7i))

A: Solution (7+i8)⁶(4+i7)⁶=((7+i8)²)³((4+i7)²)³ » (49-64+112i)³(16-49+56i)³ »(-15+112i)³(-33+56i)³ »

Q: 2. 4-4i 3. 2. -2 21

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 2/-8i

A: It is given that,2/-8i We have to evaluate it.

Q: (3 + 5i) + (2 - 5i)

A:

Q: |sgn(-1.1)|= ??? %3D 1.1 .1 -1 .2 -1.1 .3 1 1 .4

A: According to the question, we need to evaluate the function: |sgn(-1.1)| Here, SIGN(x) returns a…

Q: 8i – 7i+ 6i + 2(9+ i)

A: Given  8i-7i+6i+2(9+i)

Q: 1. 1 + i 2. -4 + 4i 3. 2i, -2i 4. -5

A: As you didn't mention the question numberto be solved so i solved First 3 question.For remaining…

Q: ) (5-6i)-(2+8) E3+4;)(5-i)+(4-66

A: Note:Our guidelines we are supposed to answer only one question. Kindly repost other question as the…

Q: • (1+3i)+(-4-4i) = 0 • (3-i)(3+3i) = 0 2+3:| = 0

A: Note: - Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 4 1 П 2i +1 (i – 1 i-2

A:

Q: Operate (3 + 7i) + (8 + 11i). A) -8 - 3i B) 10 + 19i (c) -11 - 8i D) 11 + 18i

A: We have to operate  (3+7i) +(8+11i)

Q: 2+3i 2.) + (8i – 6)(-3 + 14i) 3i(1-5i)

A: 2+3i3i(1-5i)+(8i-6)(-3+14i)=2+3i3i-15i2+(-24i+112i2+18-84i)=2+3i15+3i-108i-94=(2+3i)(15-3i)(15+3i)(1…

Q: 7-2i/-1-i

A: here we have , z=-7-2i-1-i we have to convert it in the form of a+ib

Q: V3 - 10i 6. 一V3 + 5i -4 + 19i 8. 2 + 5i

A:

Q: 6 + 2i 3. 1 + 2i

A: 6+2i1+2i* 1-2i1-2i=10-10i5= 2-2i

Q: (1+6i)z - 6 - 9i 2-2-3i =(1+i)z +4-3i 2 Má

A:

Q: (b) (1 + i)(3 - i)(3 – 4i)(4 – 2i) |i(1+2i)³ (c) (2 – 4i)2 |

A: To evaluate the given expression.b 1+i¯3-4i4-2i=?c i1+2i32-4i2=?

Q: A) 1-2リ 1. =6 25 (1-2i)? (1+2i)²

A: We know that (i)^2 = -1

Q: (2-4i)(5-7i) =

A: The steps  of simplification are shown on board. Here we se the result i^2 =-1 and then collect the…

Q: 3. 2i, -2i Vz + i/3 5. - V8 - 2i/3 4. -5 V3 - 10i 6. + 5i 4+19i

A:

Q: (2i-9)2

A: We need to simplify (2i – 9)2 and express in the form of (a + ib). We can rewrite  (2i – 9)2 as (2i…

Q: (2+i)(1+3i) - 2+ 4i =

A: we have  2+i1+3i¯-2+4i ....(i) where 1+3i¯ is the conjugate of 1+3i. To find the conjugate of 1+3i…

Q: 3/2-4i -(3+2i)

A: Note -  You have not used bracket in first part so I have solved the question in two ways. Check the…

Q: |sgn(-1.1)|=??? %3D 1.1 .1 -1 .2 -1.1 .3 1.4

A:

Q: 1. Simplify: 4 + 3i h) 5 – 2i 6 - 8i g) (3 – 2i)2 i

A: g) 3-2i2h) 4+3i5-2ii) 6-8ii

Q: 4) -3i(4i-5)

A:

Q: Simplify: 4+ 3i h) 5 – 2i 6 – 8i g) (3 – 2i)2 i) i

A:

Q: (3 +2i)(2 - 5i)

A: The given question belonging to the complex number in which we have to find the product of the…

Q: 3i 2. -4 3. -3+2i 4. 3-4i 5. -12-3і 6. 8+i

A:

Q: 2. 2i + 3 - i 1 + i

A:

Q: 1-). 25 2-) 3+4i 3-1

A:

Q: z1 = 2 – 10i, z2 = 1 – 5i, z3 = 10 – 2i Z1Z2 2. Izı+2Zz|

A: Given z1 = 2-10iz2 = 1-5iz3 = 10-2i Consider z2¯ = 1+5i z1+2z2¯ = 2-10i + 2(1+5i) = 2-10i + 2 +10i=…

Q: 0 -2 i 2i 2 M = -2i 1 -1

A:

Q: 1 Evaluate +(-i)91 + -2 + V3i where z = -V3+i. Simplify as much as possible. 200 +(-i )91 +. %3D i

A: