GATE CE 2018 Set 1 — Question 12
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Engineering Mathematics → Linear Algebra → Matrix Algebra & Operations
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Question
For the given orthogonal matrix ,The inverse is
Correct answer
(C) bmatrix 3/7 & -6/7 & 2/7 \ 2/7 & 3/7 & 6/7 \ 6/7 & 2/7 & -3/7 bmatrix
Solution
For an orthogonal matrix , the inverse is equal to its transpose, i.e., .
Given , its transpose is:
.
This matches option (C).
Given , its transpose is:
.
This matches option (C).
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