CUET Preparation Today
With reference to square matrices, which one of the following statements is NOT correct ? |
If $A^T=A,$ then A is symmetric matrix If $A^T=-A$, then A is skew symmetric matrix Multiplication of two squares matrices of same order is not necessarily The inverse of any square if it exists, is not unique |
The inverse of any square if it exists, is not unique |
$\text{Check each statement:}$ $(1)\;A^T=A \Rightarrow A \text{ is symmetric}$ — $\text{True}.$ $(2)\;A^T=-A \Rightarrow A \text{ is skew-symmetric}$ — $\text{True}.$ $(3)\;\text{Multiplication of two square matrices of same order is not necessarily commutative}$ — $\text{True}.$ $(4)\;\text{The inverse of a square matrix (if it exists) is not unique}$ — $\text{False (inverse is unique).}$ $\text{NOT correct statement: Option 4.}$ |
