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    Maths-
    General
    Easy

    Question

    Let A = open parentheses table row 0 0 cell negative 1 end cell row 0 cell negative 1 end cell 0 row cell negative 1 end cell 0 0 end table close parentheses. The only correct statement about the matrix A is

    1. A is a zero matrix    
    2. A = (–1) I, where I is a unit matrix    
    3. A–1 does not exist    
    4. A2 = I    

    hintHint:

    A equals open square brackets table row 0 0 cell negative 1 end cell row 0 cell negative 1 end cell 0 row cell negative 1 end cell 0 0 end table close square brackets A squared equals open square brackets table row 0 0 cell negative 1 end cell row 0 cell negative 1 end cell 0 row cell negative 1 end cell 0 0 end table close square brackets space x space open square brackets table row 0 0 cell negative 1 end cell row 0 cell negative 1 end cell 0 row cell negative 1 end cell 0 0 end table close square brackets A squared equals open square brackets table row cell 0 plus 0 plus negative 1 x minus 1 end cell 0 0 row 0 cell 0 plus negative 1 x minus 1 plus 0 end cell 0 row 0 0 cell negative 1 x minus 1 plus 0 plus 0 end cell end table close square brackets equals open square brackets table row 1 0 0 row 0 1 0 row 0 0 1 end table close square brackets A squared equals I d e n t i t y space m a t r i x

    The correct answer is: A2 = I

      Given Matrix A = open parentheses table row 0 0 cell negative 1 end cell row 0 cell negative 1 end cell 0 row cell negative 1 end cell 0 0 end table close parentheses we need to find the correct option.

      H e n c e comma space A squared space equals space I space i s space t h e space I d e n t i t y space m a t r i x

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