Drupal\Core\Entity\EntityStorageBase->loadMultiple() (Line: 267)
Drupal\Core\Entity\EntityStorageBase->load() (Line: 326)
custom_fac_2_preprocess_professorSiteBanner() (Line: 354)
Drupal\Core\Extension\ModuleHandler->invoke() (Line: 311)
Drupal\Core\Theme\ThemeManager->Drupal\Core\Theme\{closure}() (Line: 340)
Drupal\Core\Theme\ThemeManager->render() (Line: 500)
Drupal\Core\Render\Renderer->doRender() (Line: 230)
Drupal\Core\Render\Renderer->render() (Line: 501)
Drupal\Core\Template\TwigExtension->escapeFilter() (Line: 86)
__TwigTemplate_dc3c3f286c663c1d3c327d136f6745c2->block_content() (Line: 446)
Twig\Template->yieldBlock() (Line: 69)
__TwigTemplate_dc3c3f286c663c1d3c327d136f6745c2->doDisplay() (Line: 402)
Twig\Template->yield() (Line: 386)
Twig\Template->render() (Line: 51)
Twig\TemplateWrapper->render() (Line: 35)
Drupal\Core\Template\TwigThemeEngine->renderTemplate() (Line: 428)
Drupal\Core\Theme\ThemeManager->render() (Line: 500)
Drupal\Core\Render\Renderer->doRender() (Line: 513)
Drupal\Core\Render\Renderer->doRender() (Line: 230)
Drupal\Core\Render\Renderer->render() (Line: 501)
Drupal\Core\Template\TwigExtension->escapeFilter() (Line: 88)
__TwigTemplate_db5b24758e3553b8aa0066c6d2c0f1d3->doDisplay() (Line: 402)
Twig\Template->yield() (Line: 386)
Twig\Template->render() (Line: 51)
Twig\TemplateWrapper->render() (Line: 35)
Drupal\Core\Template\TwigThemeEngine->renderTemplate() (Line: 428)
Drupal\Core\Theme\ThemeManager->render() (Line: 500)
Drupal\Core\Render\Renderer->doRender() (Line: 230)
Drupal\Core\Render\Renderer->render() (Line: 501)
Drupal\Core\Template\TwigExtension->escapeFilter() (Line: 96)
__TwigTemplate_15d998773b913ad396e749cdb8ecdf32->doDisplay() (Line: 402)
Twig\Template->yield() (Line: 386)
Twig\Template->render() (Line: 51)
Twig\TemplateWrapper->render() (Line: 35)
Drupal\Core\Template\TwigThemeEngine->renderTemplate() (Line: 428)
Drupal\Core\Theme\ThemeManager->render() (Line: 500)
Drupal\Core\Render\Renderer->doRender() (Line: 230)
Drupal\Core\Render\Renderer->render() (Line: 162)
Drupal\Core\Render\MainContent\HtmlRenderer->Drupal\Core\Render\MainContent\{closure}() (Line: 634)
Drupal\Core\Render\Renderer::Drupal\Core\Render\{closure}()
Fiber->start() (Line: 635)
Drupal\Core\Render\Renderer->executeInRenderContext() (Line: 157)
Drupal\Core\Render\MainContent\HtmlRenderer->renderResponse() (Line: 90)
Drupal\Core\EventSubscriber\MainContentViewSubscriber->onViewRenderArray() (Line: 246)
Symfony\Component\EventDispatcher\EventDispatcher::Symfony\Component\EventDispatcher\{closure}() (Line: 206)
Symfony\Component\EventDispatcher\EventDispatcher->callListeners() (Line: 56)
Symfony\Component\EventDispatcher\EventDispatcher->dispatch() (Line: 188)
Symfony\Component\HttpKernel\HttpKernel->handleRaw() (Line: 76)
Symfony\Component\HttpKernel\HttpKernel->handle() (Line: 53)
Drupal\Core\StackMiddleware\Session->handle() (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle() (Line: 28)
Drupal\Core\StackMiddleware\ContentLength->handle() (Line: 203)
Drupal\page_cache\StackMiddleware\PageCache->fetch() (Line: 140)
Drupal\page_cache\StackMiddleware\PageCache->lookup() (Line: 89)
Drupal\page_cache\StackMiddleware\PageCache->handle() (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle() (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle() (Line: 53)
Drupal\Core\StackMiddleware\AjaxPageState->handle() (Line: 54)
Drupal\Core\StackMiddleware\StackedHttpKernel->handle() (Line: 745)
Drupal\Core\DrupalKernel->handle() (Line: 19)
This course covers the basic of linear Algebra and related topics, including vector algebra, matrix algebra with application to solving systems of linear equations. Matrix topics include linear transformations, eigenvalues and eigenvectors, factorization, ranks. Concepts such as vector spaces, projection, and symmetric and orthogonal matrices are also introduced.