CBSE Class 12-science Answered
Matrix
Asked by Shivangi | 11 Apr, 2018, 12:35: PM
Expert Answer
According to the question,
BT = [(I - A) (I + A)-1]T
= [(I + A)-1]T (I - A)T (AB)T = BTAT
= [(I + A)T]-1 (I - A)T (A-1)T = (AT)-1
= (IT + AT)-1 (IT - AT) (A + B)T = AT + BT
= (I + AT )-1 (I - AT) IT = I
= (I - A)-1 (I + A) AT = -A
Similarly you can find BTB which gives you I. Hence, B is an orthogonal matrix.
Answered by Sneha shidid | 12 Apr, 2018, 10:18: AM
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