two seperate questions multiple choice Calculate the following: [3+i 2-i [ [ 3 2 2-i| 2...
3 seperate questions multiple choice Write the number in standard form: (3 - 4i) - (2 - 51). 5 + 9i 1 + i 1 - 9i 5+ i 6 Calculate in standard form. Obi O-i 0-1 1 Calculate (6+2i)i in standard form. 0-2 – 6i O2 - 6i 0-2 + 6i O2 + 6
The complex conjugate of (1+i) is (1−i). In general to obtain the complex conjugate reverse the sign of the imaginary part. (Geometrically this corresponds to finding the "mirror image" point in the complex plane by reflecting through the x-axis. The complex conjugate of a complex number z is written with a bar over it: z⎯⎯ and read as "z bar". Notice that if z=a+ib, then (z)(z⎯⎯)=|z|2=a2+b2 which is also the square of the distance of the point z from the...
2 seperate questions the last picture is part of the second question ( multiple choice) Let A and B benxn invertible matrices, then det(B-1 AB) = 0 det(A) det(B) -det(A) (1 2-3 51 The augmented matrix for a system is given as, 0 1 4-6. Find the general solution or state that 0 0 0 0 there is no solution x=5-2y+32 y=-6-42 z is free x=17 y=-6 z=1 0 O X 17 [11] y -6 +1 -4. N 0
two seperate questions multiple choice Determine which of the following matrices are in RREF. ſi 0 -1 0 ſi 0 0 27 in) 0 1 2 0 [1 0 1 0] ii) 0 1 1 0 0 0 0 1 ſi 0 0 2 iv) 0 1 0 1 0 0 1 0 i) 02 03 0 0 1 0 0 14 iv only ii and iii ii and iv i and ii For the given matrix and eigenvalue, find...
3 seperate questions multiple choice Determine which of the following matrices are in RREF. ſi 0 0 27 i) 0 2 0 3 0 1 1 4 ſi 0 1 0] i) 0 1 1 0 0 0 0 1 [1 0 -1 2 ii) 0 1 07 0 o [1 0 0 2 iv) 0 1 0 1 0 0 1 0 0 0 1 iv only ii and iii ii and iv i and ii For the given...
the second picture is part of the first question there is 3 questions all multiple choice Find the general solution to the system : ix+y=3 ix - y = 2 MINIO II 10.- 11 1 2 -- 2 ex Il -- 1 2 N - N1 . Use polar form to calculate (-1 + 3iy9 O 64 512 0-64 -512 1+ 3i Express in standard form. 3+i 10 3 3 4. O 1 + i O il Unit 01
Al. Practice with complex numbers: Every complex number z can be written in the form z r + iy where r and y are real; we call r the real part of z, written Re z, and likewise y is the imaginary part of z, y - Im z We further define the compler conjugate of z aszT-iy a) Prove the following relations that hold for any complex numbers z, 21 and 22: 2i Re (2122)(Re z) (Re z2) -...
Note: For all the questions, provide detailed solution steps. Question 1. For the given functions f(x) = x² and g(x) = 3x2 - 3 (30 points, 6 each) a) fog b) gof c) gog d) fof e) fog (-1) Bonus Question: (10 points, 5 each) Find the Real and the Imaginary Part of the below complex numbers: a) Z1 = 3 - 2i + 34 – 3i) = b) Z2 = (5 -3i). (4-3i) =
two seperate questions multiple choice Determine if the vector is an eigenvector of a matrix. If it is, determine the corresponding eigenvalue. A= 1 1 1 and v The eigenvalue is 2. The eigenvalue is 0. The eigenvalue is 3. v is not an eigenvector. Find the inverse of the matrix, if it exists. A= -1-6 6 3 2 11 11 1 11 33 33 NE -= 2 11 = -18 = -1= 야야 O
need the code in .c format #define _CRT_SECURE_NO_WARNINGS #include <stdio.h> #include <math.h> struct _cplx double re, im; // the real and imaginary parts of a complex number }; typedef struct _cplx Complex; // Initializes a complex number from two real numbers Complex CmplxInit(double re, double im) Complex z = { re, im }; return z; // Prints a complex number to the screen void CmplxPrint(Complex z) // Not printing a newline allows this to be printed in the middle of...