GATE CE 2021 Set 2 — Question 14
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Engineering Mathematics → Linear Algebra → Matrix Algebra & Operations
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Question
If is a square matrix then orthogonality property mandates
Correct answer
(A) AA^T = I
Solution
A square matrix is defined as orthogonal if its transpose is equal to its inverse, i.e., . Multiplying both sides by from the left gives , where is the identity matrix.
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