3 seperate questions multiple choice Write the number in standard form: (3 - 4i) - (2...
two seperate questions multiple choice Calculate the following: [3+i 2-i [ [ 3 2 2-i| 2 ས 3 2- 2i - 3 2- 2i 2 - 1 Determine the real and imaginary parts of the complex number by first writing the number in standard form. z=(5-3i)(5 + 3i) Re(z) = 30 and Im(z) = 4 Re(z) = 32 and Im(z) = 2 Re(z) = 34 and Im(z) = 6 Re(z) = 34 and Im(z) = 0
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 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
three seperate questions multiple choice 13 and B= Find A -B. 2 . [4:1 Let A= -1 6 2 6 7 177 15 12 1 5 5 30 1 5 3 30 7 17 15 36 Let A and B be 3 x 3 matrices with det(A) = 2 and det(B) = -3. Then find det(-A2B). -6 -12 6 12 [5 2 -2 3 -47 0 4 21 _0 Find the determinant of the matrix, A= 10 0 -2 3...
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...
If u =<5-i, -3i, 6+2i > and v=< 3, 21, -1-4i >, use the standard inner produc in Cº to determine, <u,v>, ||-||, and || |
Coding in C++ Additional files are:- complexInput.txt (3+4i) * (5-6i) complexOutput.txt 39+2i complexInputWrong.txt (3+4i) - dummy USE COMPLEX.H, COMPLEX.CPP AND MAIN.CPP What you will learn Implementing classes .File I/O More operator overloading .Error checking Coding exercise Create a class called complexNumber that stores a complex number of the form a+bi, where i is v-I. a is the real and b is the imaginary part of the number1. You should be able to get the real and imaginary parts of the...
3 seperate questions multiple choice Evaluate the determinant by using a cofactor expansion along any row or column. -5 5 -5 3 0-1 2-2 0 3 0 0 0 -3 4 1 0 150 0-150 0-30 Find the eigenvalues of the given matrix. 2 3 O 1, 2 O 1, -2 -2 1 1 Row reduce the matrix to obtain a row equivalent matrix. 4 -2 31 -3 -11 9-5 1-2 3 4 3 [1 4 -2 3 0 1...
three seperate questions multiple choice Find a vector equation of the line passing through the point P(1,-1, 3) and parallel to the line with an equation +x =1/+t -2,tER. N-N He रे tER. 21.DER tER. TER Calculate the area of the parallelogram induced by ܠܐ ܢ ܝ ܘ 1 8 -3 -1 7 Consider the points P(1,2,2), Q(-1, 0, 1), and R(3, 2, 1). Then O + PR = P O QP PR - OR PO + RP = QR...
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...