For a matrix A, AI = A and $AA^{T}=

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Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Algebra

Question:

For a matrix A, AI = A and $AA^{T}=I$ is true when

Options:

A is a square matrix.

A is a non singular matrix.

A is a symmetric matrix.

A is a matrix of any order.

Correct Answer:

A is a square matrix.

Explanation:

The correct answer is Option (1) → A is a square matrix.