(b) Given z is the conjugate of a complex number z such that z=6+8i Find the complex number z whose real part is negative.

Q: The graph below shows a (nonzero) complex number z on the complex plane. If the constant k…

A: To determine the points that represent the product kz where k is a real number and z is a non-zero…

Q: Determine the absolute value of the complex number z = -1 - 2i.

A:

Q: Find all the complex numbers x that satisfy the equation x5 - ix4 + 5x3-5ix2 + 6x - 6i = 0. Then…

A:

Q: What is the complex conjugate of 2 + 3i? What happens when you multiply this complex number by its…

A:

Q: Graph the complex number on the complex plane.   −2+3i

A: -2+3i

Q: How is multiplying -8 – 3i by i3 represented on the complex plane? Drag a term or measure into each…

A: this is a complex number problem we will solve by making a graph.

Q: The conjugate of the complex number -4 – 3i is a) 3 – 4i b) 3 + 4i c) -4 – 3i Qd) -4+ 3i

A: A conjugate is where we change the sign in the middle.  i.e        Conjugate of a+ ib = a- ib

Q: 2+5i Divide the two complex numbers:- In other words, write it as a single complex number 3+i

A:

Q: Plot the complex number and find its absolute value. AImaginary 9 i Q Plot the complex number on the…

A:

Q: Subtract the complex numbers. Express your answer in the form (a + bi). (3 + 4i) – (6 - 7i)

A: According to the question, we have to subtract the complex number 3+4i-6-7i and express the number…

Q: Plot the number 1 + 2i on the complex plane.

A: 1+2i has the real part 1 and imaginary part 2. As the x-axis represents the real part and the y-axis…

Q: Find the real and imaginary parts of the complex number.

A: z = a + ib                          where,  a…

Q: -3 + i

A: -3+i = (-3,1)

Q: (b) Find the conjugate, argument and modulus of the complex number Z =1+i3

A: Recall: If z= x+iy , then (i) Modulus of z , z=x2+y2(ii)Conjugate of z is z¯ =x-iy(iii) Argument =…

Q: Find the distance between the complex numbers in the complex plane. 1 + 4i, -1 + 7i

A: The distance between the two complex numbers, z1=a+bi and z2=c+di in the complex plane is  In the…

Q: Find the midpoint of the line segment joining the points corresponding to the complex numbers in the…

A: we know that Z=x+iywe have the point as A=-1-i2 in complex plane =(-1,-12) in cartesian coordinate…

Q: Find the real and imaginary parts of the complex number. 3

A: We have to find real and imaginary parts of the complex number: 3 We know that if we have complex…

Q: Determine the magnitude of the complex number, X. X = 5 + -9j ---------------------       x=5+…

A:

Q: Find the midpoint of the line segment joining the points corresponding to the complex numbers in the…

A:

Q: Find the midpoint of the line segment joining the points corresponding to the complex numbers in the…

A:

Q: Find the real and imaginary parts of the complex number.

A: We know that in complex number a+ib 'a' is the real part  'b' is the imaginary part -2-5i3 Divide…

Q: Find the midpoint between the pair of complex numbers. (-5 - 8i) and (-3i) O 2.5 + 2. 5i O-2.5 5. 5i…

A:

Q: (a) Find the modulus and argument of the complex number z =1+ v3i (b) Consider the complex number…

A:

Q: Find the quotient (2 - 3i)/(3 + 4i) , and express the result in the standard form of a complex…

A: We have given quotient 2-3i3+4i Then,…

Q: 6. Conjugate of the complex number is the reflection in the real axis of the complex number True…

A:

Q: Find the real and imaginary parts of the complex number. 5 - 7i

A: Known fact:  For a complex number z=x+iy, x is called real part and y is called imaginary part.

Q: Which complex number labeled in the complex plane below is the plot of the complex number 1+2i? imag…

A: Complex number

Q: Plot the number -2 – i on the complex plane. 4- imaginary real -4 -3 -2 -1 -1 2 3 4 -2 -3 -4 32

A:

Q: 2. Identify the conjugate of each complex number, then plot both complex numbers and their…

A:

Q: The complex numbers z1, z2, and z3 are the vertices of a triangle and satisfy the following…

A: Given:          z1-z2z2-z3=1-i32         multiply numerator and denominator with1+i3…

Q: Plot the complex number and find its absolute value. AImaginary -6+8i Plot the complex number on the…

A:

Q: Find the quotient z1/z2 of the complex numbers.Leave answers in polar form.Express the argument as…

A: Given, z1=2+2iz2=1+i

Q: Find the sum of the complex numbers in the complex plane. (4 + i) + (2 + 61)

A: Explanation and solutions is given below....

Q: Use DeMoivre’s theorem to find z4, if z is 1 + 1i. Express your answer in complex form

A:

Q: Let z be a complex number, find therange of real values of a for which the equation. z+alz-1+2i=0has…

A:

Q: Find the difference of the complex numbers in the complex plane. (4 + 2i) - (5 + 4i)

A:

Q: Find the distance between the complex numbers in the complex plane. 71, 4 - 3i

A:

Q: Plot the complex numbers -6+i and 1 in the complex plane. `Imaginary Axis 6+ 3+ 1- Real Axis $ -7 -6…

A: We are going to draw

Q: Find the graph of the complex number z = -3 + 4i in the complex plane Imaginary Real A Imaginary…

A:

Q: A complex number is graphed as a point on the complex plane below. 2- 1 Real -3 -2 -1 -10 (0, -1)…

A: To determine: The complex number is graphed as a point in the complex plane. Given information: The…

Q: How is the product of a complex number and a real number represented on the coordinate plane? When 6…

A: This is a problem of complex analysis.

Q: Find the difference of the complex numbers in the complex plane. (3 + 21) – (5 + 3/)

A:

Q: Find the distance between the complex numbers in the complex plane. -2 6i, 6 + 5i

A:

Q: What is the real and imaginary parts of the complex number -5/6i

A: z = - (5/6)i can be written as, z = 0 + (-5/6)i

Q: 4. (a) What is the complex plane? How do we graph a complex number z = a + bi in the complex plane?…

A: (a) Complex plane: The complex plane is defined as a Z-plane which is established by real axis and…

Q: Plot the complex number z = -1 - 2i in the complex plane.

A: Given that, z = -1 - 2i Then the point resented by this complex number z = -1 - 2i is (-1, -2). The…

Q: Plot the complex number and its complex conjugate. -3 + 2i Imaginary axis 10 8 Imaginary axis…

A: given complex number is -3+2i plot the graph for complex number and its conjugate

Q: Consider the complex number z = -8 + 8i√3.  Find the fourth roots of z in complex form

A:

Q: Determine the absolute value of the complex number 2 - 3i.

A: Absolute value of complex number z=a+ib is represent by z and  given as z=a2+b2

Q: Plot the complex number z = -3 - 5i in the complex plane.

A: Given:            z=-3-5i The real part of the complex number is –3 and the imaginary part is -5i.…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.