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Determinants
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What is the value of the determinant of the following 3x3 matrix: $\begin{vmatrix} a&b&c \\ d&e&f \\ g&h&i \end{vmatrix}?$
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What is the determinant of 2x2 matrix $\begin{vmatrix} a & b\\c & d\end{vmatrix}?$
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Mar 12, 2013
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balaji.thirumalai
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Answer: $\begin{vmatrix} a&b&c \\ d&e&f \\ g&h&i \end{vmatrix} = aei+bfg+cdh - (ceg+bdi+afh)$
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Mar 12, 2013
by
balaji.thirumalai
True or False: Any square matrix A and its transpose have the same determinant.
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If we multiply one row a matrix by k, i.e, $\begin{vmatrix} ka& kb\\ c& d\end{vmatrix}$, then which of the following is also the value of the determinant?
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Mar 12, 2013
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balaji.thirumalai
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What is the determinant of 2x2 matrix $\begin{vmatrix} a & b\\c & d\end{vmatrix}?$
asked
Mar 12, 2013
by
balaji.thirumalai
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True or False: Any square matrix A and its transpose have the same determinant.
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Mar 12, 2013
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balaji.thirumalai
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Fill in the blank: For every ______ matrix A of order n, we can associate a number called determinant of the matrix A, written as det A, where aij is the (i, j)th element of A.
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Mar 12, 2013
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True or False: If to each element of a row (or a column) of a determinant the equimultiples of corresponding elements of other rows (columns) are added, then value of determinant remains same.
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Mar 12, 2013
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If any two rows or any two columns in a determinant are identical (or proportional), then which of the following is true?
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True or False: The determinant of the product of matrices is equal to product of the individual determinants, $det(AB) = det(A).det(B)$
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