CUET Preparation Today
For a matrix A, AI = A and $AA^{T}=I$ is true when |
A is a square matrix. A is a non singular matrix. A is a symmetric matrix. A is a matrix of any order. |
A is a square matrix. |
The correct answer is Option (1) → A is a square matrix. $AI = A \Rightarrow \text{true for all matrices (identity property)}$ $AA^T = I \Rightarrow \text{definition of an orthogonal matrix}$ The condition holds when $A$ is an orthogonal and Square matrix. |
