Practicing Success
Practicing Success
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Which of the following is correct? |
the determinant is a square matrix If \(\det (A)=0\) for some \(3\times 3\) matrix \(A\), then \(A\) is zero matrix Determinant of a real matrix could be a complex number None of these |
None of these |
Determinant is the number associated to a square matrix. The matrix in which the number of rows is equal to the number of columns is known as a square matrix. If \(\det (A)=0\) for some \(3\times 3\) matrix \(A\), then \(A\) may be non- zero matrix If a matrix has real entries, its determinant is real valued although eigenvalues may be complex. In this case the nonreal eigenvalues come as pairs of complex conjugates. If the matrix has complex entries, then the determinant can well be complex.
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