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Consider the following linear transformation:→, where rotates each vector 90 degrees counterclockwise about the-axis and then rotates 45 degrees counterclockwise about the-axis. Find in the standard basis.

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MCQs on Linear Algebra.


Consider the following linear transformation<br><img src='https://www.fatskills.com/images2/GradExams/248532CC-AEE4-4CA2-A720-1BF4417267C6.png' height='16' width='16'/>:<br><img src='https://www.fatskills.com/images2/GradExams/165AB787-EF67-4FB9-9DBA-F082F45489E2.png' height='17' width='21'/>→<br><img src='https://www.fatskills.com/images2/GradExams/165AB787-EF67-4FB9-9DBA-F082F45489E2.png' height='17' width='21'/>, where<br><img src='https://www.fatskills.com/images2/GradExams/248532CC-AEE4-4CA2-A720-1BF4417267C6.png' height='16' width='16'/> rotates each vector 90 degrees counterclockwise about the<br><img src='https://www.fatskills.com/images2/GradExams/E449F259-8F92-4C77-BF1E-CDA63E6375AA.png' height='10' width='11'/>-axis and then rotates 45 degrees counterclockwise about the<br><img src='https://www.fatskills.com/images2/GradExams/1DF54A72-32BC-4920-83E0-7DFBA6AE3B84.png' height='13' width='10'/>-axis. Find<br><img src='https://www.fatskills.com/images2/GradExams/74859674-BE68-4D34-BCF3-91D194091A2A.png' height='72' width='75'/> in the standard basis.






 
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