5. Using Pivotal Element Method, find the value of x. 1 +i 1+2i| 1-i 2 2 – 3i = -32 + 13i | |1 – 2i X

Q: coshz=cosh4 has two sets of solutions: 4+2nπi and a+2nπi where n is an integer. What is the value of…

A:

Q: 1. Express the sum of (2 - 3i) and (6 + 4i) divided by the sum of (4 + i) and (-5- 2i) in a + bi…

A: 1)  To find the value of           {(2-3i)+(6+4i)} / {(4+i)+(-5-2i)}

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: Find the conjugate of – 3i ( 2 + 5i ).

A: Solution

Q: bläi 4 * find each of a,& b 3 - i 2 – 2i - If a + ib = 2+ 3i then 1– 5i' -

A: Given :         a + ib = 3 - i2 + 3i + 2 - 2i1 - 5i   To find a and b.

Q: Find the value of q such that (3 + 4i)(1+2i) (1 + 3i) q= = q(1 + i).

A: To find the value of q such that,  3+4i1+2i1+3i=q1+i

Q: 1+3i 5. Evaluate 1-41

A:

Q: Q4) Answer two only 5-3i, a) Evaluate i 2+4i b) solve the following to find c and d (3-2 i)(c+id) =…

A:

Q: Find the value of q such that (3 + 4i)(1 + 2i) (1 + 3i) = q(1 + i).

A: We have to simplify left hand side expression then compare both side to find the value of q.

Q: Express 3-i/2+3i  in the form a + bi

A: Rationalise i^2=-1

Q: Find the singular values 01 202 of 7 A = || 0 -3 |

A: For matrix A, find ATA Next find eigenvalues of matrix ATA  det(ATA)-λ=0 Square root of non-zero…

Q: Determine which of the expressions are equivalent. Equivalent Expressions : (4- i)(5i+ 1) : 10 - (4–…

A:

Q: 4+ 3i 3 — 5і (b) 2+ 3i 2 – 3i

A:

Q: Express in the form of x + iy: 6-7i (i) 5+i 1 + (3+i)2 1 (ii) (3-i)2

A:

Q: Parts (a) and (b) below refer to the numbers z = 1+ 3i and w = -3 + 2i. You must show the work…

A:

Q: Question 10 Let a = 7i + 5j and b = - 5i – 6j. Find a · b

A: Here I am attaching image so that you understand each and every step.

Q: If Z=x+iy and 3x+(3x-y)i=4-6i then Z . * -4/3+10i O 4/3-10i O 4/3+10i -4/3-10i

A:

Q: Question 12 > Let a = - 6ỉ – 73 and b = – 47 – 33. Find ä · |

A: In this,we find dot product of given vectors a& b.

Q: Find the real numbers x and y if (x – iy) (3 + 5i) is the conjugate of –6 – 24i.

A:

Q: (1+2i)² (3–5i)-i? + (3+17i) Evaluate, 5.

A:

Q: 2+i 6і — (1 — 21) 2.

A:

Q: #5

A:

Q: Find the value of a such that (3 + 4i)(1+2i) (1 + 3i) 9 = = = q(1 + i).

A:

Q: Assume Z₁ = 7 - 4i and Z₂ = 2 + 5i. Find the sum and difference of z1 and z2. Z₁ + Z₂ = Z1-Z₂ = +

A: Given that z1=7-4i and z2=2+5i

Q: 8i−(15−4i)

A: The standard form of a complex number is given as,

Q: m(z + 3i) = 6

A:

Q: 4i/5+i

A: Given expression: 4i5+i rationalize the expression…