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The inverse of a matrix is defined for
  • a)
    Only square matrices
  • b)
    Diagonal matrices
  • c)
    all matrices
  • d)
    Rectangular matrices
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The inverse of a matrix is defined fora)Only square matricesb)Diagonal...
The inverse exists only for square matrix. However this is not true. A nonsingular matrix must have their inverse whether it is square or nonsquare matrix.
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The inverse of a matrix is defined fora)Only square matricesb)Diagonal...
If this is the case, then the matrix B is uniquely determined by A and is called the inverse of A, denoted by A−1. A square matrix that is not invertible is called singular or degenerate. A square matrix is singular if and only if its determinant is 0. ... For a noncommutative ring, the usual determinant is not defined.
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Community Answer
The inverse of a matrix is defined fora)Only square matricesb)Diagonal...
a)
Only square matrices
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