5
Question
Which of the following is an orthogonal matrix
Which of the following is an orthogonal matrix
Open in App
Solution
The correct option is B ⎡⎢⎣6/72/73/72/7−3/76/73/76/7−2/7⎤⎥⎦
For A=⎡⎢⎣6/72/7−3/72/73/76/73/7−6/72/7⎤⎥⎦
AT=⎡⎢⎣6/72/73/72/73/7−6/7−3/76/72/7⎤⎥⎦
Thus
AAT=⎡⎢⎣6/72/7−3/72/73/76/73/7−6/72/7⎤⎥⎦⎡⎢⎣6/72/73/72/73/7−6/7−3/76/72/7⎤⎥⎦=⎡⎢⎣100010001⎤⎥⎦=I
Hence A is orthogonal matrix
For A=⎡⎢⎣6/72/7−3/72/73/76/73/7−6/72/7⎤⎥⎦
AT=⎡⎢⎣6/72/73/72/73/7−6/7−3/76/72/7⎤⎥⎦
Thus
AAT=⎡⎢⎣6/72/7−3/72/73/76/73/7−6/72/7⎤⎥⎦⎡⎢⎣6/72/73/72/73/7−6/7−3/76/72/7⎤⎥⎦=⎡⎢⎣100010001⎤⎥⎦=I
Hence A is orthogonal matrix
Suggest Corrections
0
Similar questions
View More
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
