{"media":{"disableImageZooming":false},"answers":[{"correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"

Answer: <\/strong>The correct choice is option a.<\/div>\n\n
Reasoning<\/strong>: The singular values of \\( A \\) are the non-negative square roots of the eigenvalues of \\( A^T A \\). Thee eigenvalues of \\( A^TA \\) are computed to be \\( 0 \\), \\( 2 \\) and \\( 12 \\). So the singular values of \\( A \\) are \\( 0 \\), \\( \\sqrt 2 \\) and \\( \\sqrt{12} \\).<\/div>\n","notChosenFeedback":"
Answer: <\/strong>The correct choice is option a.<\/div>\n\n
Reasoning<\/strong>: The singular values of \\( A \\) are the non-negative square roots of the eigenvalues of \\( A^T A \\). Thee eigenvalues of \\( A^TA \\) are computed to be \\( 0 \\), \\( 2 \\) and \\( 12 \\). So the singular values of \\( A \\) are \\( 0 \\), \\( \\sqrt 2 \\) and \\( \\sqrt{12} \\).<\/div>\n"},"text":"
a. <\/strong>\\( 0 \\)<\/div>\n"},{"correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"
b. <\/strong>\\( 1 \\)<\/div>\n"},{"correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"
c. <\/strong>\\( 2 \\)<\/div>\n"},{"correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"
d.<\/strong> \\( 3 \\)<\/div>\n"}],"overallFeedback":[{"from":0,"to":100}],"behaviour":{"enableRetry":true,"enableSolutionsButton":false,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":false,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"UI":{"checkAnswerButton":"Check","submitAnswerButton":"Submit","showSolutionButton":"Show solution","tryAgainButton":"Retry","tipsLabel":"Show tip","scoreBarLabel":"You got :num out of :total points","tipAvailable":"Tip available","feedbackAvailable":"Feedback available","readFeedback":"Read feedback","wrongAnswer":"Wrong answer","correctAnswer":"Correct answer","shouldCheck":"Should have been checked","shouldNotCheck":"Should not have been checked","noInput":"Please answer before viewing the solution","a11yCheck":"Check the answers. The responses will be marked as correct, incorrect, or unanswered.","a11yShowSolution":"Show the solution. The task will be marked with its correct solution.","a11yRetry":"Retry the task. Reset all responses and start the task over again."},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"},"question":"
Which of the following are singular values of \\( A= \\begin{bmatrix} 1&0&1 \\\\ -2&2&2 \\end{bmatrix} \\)? Select all that are.<\/p>\n"}