{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## CS 132 Homework 04 B\n", "\n", "### Due Friday August 6th at Midnight (1 minute after 11:59pm) in Gradescope (with grace period of 6 hours)\n", "### No late period!\n", "\n", "\n", "Please read through the entire notebook, reading the expository material and then do the problems, following the instuctions to try various features; among the exposition of various features of Python there\n", "are three problems which will be graded. Each problem is worth 10 points. \n", "\n", "You will need to complete this notebook and then convert to a PDF file in order to submit to Gradescope. Instructions are given here:\n", "\n", "https://www.cs.bu.edu/fac/snyder/cs132/HWSubmissionInstructions.html\n", "\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Here are some imports which will be used in the code in the rest of the lab \n", "\n", "# Imports used for the code in CS 237\n", "\n", "import numpy as np # arrays and functions which operate on arrays\n", "\n", "import matplotlib.pyplot as plt # normal plotting\n", "\n", "\n", "# NOTE: You may not use any other libraries than those listed here without explicit permission." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem Three\n", "\n", "For each of the following, give examples of matrices $A$ and $B$ with the following properties. Additionally,\n", "$A$ and $B$ can **only** contain real numbers $0$ and $1$ ($A+B$ may contain 2's) and in each case $A\\ne B$. \n", "\n", "Prove your results using determinants. \n", "\n", "(A) $A$ and $B$ are both invertible, but $A+B$ is *not* invertible;\n", "\n", "(B) $A$ and $B$ are both **not** invertible, but $A+B$ *is* invertible;\n", "\n", "(C) All of $A$, $B$, and $A+B$ are invertible; \n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Solution:**\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem Four\n", "\n", "(A) Is $\\begin{bmatrix} 12 \\\\ 10 \\\\ 12 \\end{bmatrix}$ an eigenvector of $ \\begin{bmatrix} 3 & 6 & 7\\\\ 3 & 3 & 7 \\\\ 5 & 6 & 5\\end{bmatrix}$ ? If so, find the eigenvalue.\n", "\n", "(B) Is $\\lambda = 6$ an eigenvalue of the matrix $ \\begin{bmatrix} 2 & 4 & 4\\\\ 6 & -6 & 2 \\\\ 0 & 2 & 2\\end{bmatrix}$?\n", " If so, find a corresponding eigenvector. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Solution:**\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem Five\n", "\n", "For the following two matrices $A$, calculate the eigenvalues and corresponding eigenvectors (all will be real). Show all work, as I did with $\\begin{bmatrix} 4 & -5 \\\\ 2 & -3 \\end{bmatrix}$ at the beginning of Lecture 11 (you can of course verify your answers using the code in Problem 2, but I want you to be\n", "able to do these by hand the long way as well).\n", "\n", "\n", "(A) $A = \\begin{bmatrix} 10 & -9 \\\\ 4 & -2 \\end{bmatrix}$\n", "\n", "(B) $A = \\begin{bmatrix} 5 & 3\\\\ 3 & 5 \\end{bmatrix}$. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Solution:**\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem Six\n", "\n", "For each of the matrices in Problem 5, verify that the following properties hold for the two eigenvalues $\\lambda_1, \\lambda_2$ (it is possible that $\\lambda_1 = \\lambda_2$): \n", "\n", "1. $\\lambda_1 + \\lambda_1 = trace(A)$. \n", "\n", "\n", "2. $\\lambda_1 \\cdot \\lambda_1 = det(A)$. \n", "\n", "\n", "3. $\\lambda_1, \\lambda_1 = m \\pm \\sqrt{m^2 - p},$ where $m = {1\\over 2} trace(A)$ and $p = det(A)$\n", "\n", "\n", "\n", "(This last formula is the trick shown in the short 1Blue3Brown video \n", "here.) \n", "\n", "(A) $A = \\begin{bmatrix} 10 & -9 \\\\ 4 & -2 \\end{bmatrix}$\n", "\n", "(B) $A = \\begin{bmatrix} 5 & 3\\\\ 3 & 5 \\end{bmatrix}$. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Solution:**\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem Seven\n", "\n", "In this problem, verify that the following properties hold for the matrices in Problem 5, using your code from Problem 2. \n", "\n", "1. $A^T$ (the transpose of $A$) has the same eigenvalues as $A$ (since the traces and determinants are the same), but (usually) different eigenvectors (because $A^T{\\bf x} = \\lambda{\\bf x}$ could have different solutions than $A{\\bf x} = \\lambda{\\bf x}$); note that if $A$ is symmetric, then $A = A^T$ and the result is trivial; \n", "\n", "\n", "2. $4A$ (multiply $A$ by scalar $4$) has eigenvalues $4\\lambda_1$ and $4\\lambda_2$ (may only be one eigenvalue), but the same eigenvectors;\n", "\n", "\n", "3. $A^{10}$ has eigenvalues $\\lambda_1^{10}$ and $\\lambda_2^{10}$ (may only be one eigenvalue), but the same eigenvectors; \n", "\n", "\n", "4. $A^{-1}$ has eigenvalues $\\lambda_1^{-1}$ and $\\lambda_2^{-1}$ (may only be one eigenvalue), but the same eigenvectors. \n", "\n", "Note: In 3 and 4, the eigenvalues (and hence eigenvectors) may be in a different order because of the change\n", "in the matrix. \n", "\n", "\n", "(A) $A = \\begin{bmatrix} 10 & -9 \\\\ 4 & -2 \\end{bmatrix}$\n", "\n", "(B) $A = \\begin{bmatrix} 5 & 3\\\\ 3 & 5 \\end{bmatrix}$. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Solution:**\n", "\n" ] }, { "attachments": { "Screen%20Shot%202021-07-31%20at%2012.47.41%20PM.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "\n", "For the remaining problems, here is the commutative diagram from Lecture 11 that shows how vectors are transformed by \"change of basis\" into the new coordinate system given by the columns of $B$, and also how to transform an array $A$ into a **similar** array that\n", "performs an equivalent transformation in the new coordinate system:\n", "\n", "![Screen%20Shot%202021-07-31%20at%2012.47.41%20PM.png](attachment:Screen%20Shot%202021-07-31%20at%2012.47.41%20PM.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem Eight\n", "\n", "Consider the \"change of basis\" given by the columns of \n", "\n", "$$B=\\begin{bmatrix} 1 & 1\\\\ 2 & 3\\end{bmatrix}.$$\n", "\n", "For A -- C, give $[{\\bf v}]_B$ for the stated ${\\bf v}$, which is assumed to be in the standard basis. \n", "\n", "(A) ${\\bf v} = \\begin{bmatrix} 0 \\\\ 0 \\end{bmatrix}$;\n", "\n", "(B) ${\\bf v} = \\begin{bmatrix} 3 \\\\ -2 \\end{bmatrix}$;\n", "\n", "(C) ${\\bf v} = \\begin{bmatrix} -1 \\\\ 4 \\end{bmatrix}$. \n", "\n", "For D -- E, give ${\\bf v}$ (in the standard basis) for the stated $[{\\bf v}]_B$.\n", "\n", "(D) $[{\\bf v}]_B = \\begin{bmatrix} 3 \\\\ -1 \\end{bmatrix}$; \n", "\n", "(E) $[{\\bf v}]_B = \\begin{bmatrix} -4 \\\\ 2 \\end{bmatrix}$. \n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "**Solution:**\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem Nine\n", "\n", "In this problem, we explore how we can change a matrix $A$ into a similar matrix $A'$ in a new coordinate system given\n", "by the columns of $B$, using the matrix transformation\n", "\n", "$$A' \\ =\\ B^{-1}AB.$$\n", "\n", "Let $B=\\begin{bmatrix} 1 & 2 \\\\ -1 & 3\\end{bmatrix}$ and ${\\bf v} = \\begin{bmatrix} -3 \\\\ 2 \\end{bmatrix}$. \n", "\n", "For each $A$ below, calculate, either by hand, or with Numpy, \n", "\n", "1. $A'$\n", "2. $[{\\bf v}]_B$\n", "3. $A'[{\\bf v}]_B$\n", "4. $BA'[{\\bf v}]_B$\n", "5. $A{\\bf v}$\n", "\n", "(4 and 5 should be be the same). \n", "\n", "\n", "(A) $A = \\begin{bmatrix} 10 & -9 \\\\ 4 & -2 \\end{bmatrix}$\n", "\n", "(B) $A = \\begin{bmatrix} 5 & 3\\\\ 3 & 5 \\end{bmatrix}$. \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Solution:**\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem Ten\n", "\n", "In this problem, we will show that when we change the coordinate system by \"change of basis\" using $B=\\begin{bmatrix} 1 & 2 \\\\ -1 & 3\\end{bmatrix}$, that for the matrix $A' = B^{-1}AB$ (which is the matrix $A$ in the new coordinate system), we have the following properties:\n", "\n", "1. $A'$ has the same eigenvalues as $A$, but\n", "2. If $\\bf V$ is the set of all eigenvectors of $A$, then the eigenvectors of $A'$ are $[{\\bf V}]_B$ i.e.,\n", "the eigenvectors of $A$ expressed in the coordinate system given by $B$. Put another way, $A{\\bf v} = \\lambda {\\bf v}$ if and only if $A'[{\\bf v}]_B = \\lambda [{\\bf v}]_B.$\n", "\n", "Note that in (2) the specific eigenvectors returned by your code may differ by a scalar multiple. \n", "\n", "Use your code from Problem 2 to verify these properties for the matrices from Problem 5. \n", "\n", "\n", "(A) $A = \\begin{bmatrix} 10 & -9 \\\\ 4 & -2 \\end{bmatrix}$\n", "\n", "(B) $A = \\begin{bmatrix} 5 & 3\\\\ 3 & 5 \\end{bmatrix}$. \n", "\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Solution:\n", "\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 2 }