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Answer:<\/strong> The correct choices are c and d.<\/div>\n\n
Reasoning for option a:<\/strong> The matrix in option (a) is not symmetric.<\/div>\n","notChosenFeedback":"
Answer:<\/strong> The correct choices are c and d.<\/div>\n\n
Reasoning for option a:<\/strong> The matrix in option (a) is not symmetric.<\/div>\n","tip":""},"text":"
a. <\/strong>\\( \\begin{bmatrix} 1 & 2 \\\\ 3 & 4 \\end{bmatrix} \\).<\/div>\n"},{"correct":false,"tipsAndFeedback":{"chosenFeedback":"
Answer:<\/strong> The correct choices are c and d.<\/div>\n\n
Reasoning for option b:<\/strong> The matrix in option (b) is not symmetric.<\/div>\n","notChosenFeedback":"
Answer:<\/strong> The correct choices are c and d.<\/div>\n\n
Reasoning for option b:<\/strong> The matrix in option (b) is not symmetric.<\/div>\n","tip":""},"text":"
b. <\/strong>\\( \\begin{bmatrix} 1 & -1 \\\\ 1 & 1 \\end{bmatrix} \\).<\/div>\n"},{"correct":true,"tipsAndFeedback":{"chosenFeedback":"
Answer:<\/strong> The correct choices are c and d.<\/div>\n\n
Reasoning for option c:<\/strong> The matrix in option (c) is symmetric.<\/div>\n","notChosenFeedback":"
Answer:<\/strong> The correct choices are c and d.<\/div>\n\n
Reasoning for option c:<\/strong> The matrix in option (c) is symmetric.<\/div>\n","tip":""},"text":"
c.<\/strong> \\( \\begin{bmatrix} 1 & 2 & 4 \\\\ 2 & 3 & 0 \\\\ 4 & 0 & -1 \\end{bmatrix} \\).<\/div>\n"},{"correct":true,"tipsAndFeedback":{"chosenFeedback":"
Answer:<\/strong> The correct choices are c and d.<\/div>\n\n
Reasoning for option d:<\/strong> The matrix in option (d) is symmetric.<\/div>\n","notChosenFeedback":"
Answer:<\/strong> The correct choices are c and d.<\/div>\n\n
Reasoning for option d:<\/strong> The matrix in option (d) is symmetric.<\/div>\n","tip":""},"text":"
d. <\/strong>\\( \\begin{bmatrix} 5 & 0 & 0 & 0 \\\\ 0 & 4 & 0 & 0 \\\\ 0 & 0 & 3 & 0 \\\\ 0 & 0 & 0 & 2 \\end{bmatrix} \\).<\/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":"
Select all matrices that are orthogonally diagonalizable.<\/p>\n"}