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Mathematics II20755 marksNumerical: determinant evaluationProperties

Define determinant. Evaluate without expanding:

Define determinant. Evaluate without expanding: $$\begin{bmatrix} 1 & 5 & -6 \ -1 & -4 & 4 \ -2 & -7 & 9 \end{bmatrix}$$ [5]

Matrix: $$A = \begin{bmatrix} 1 & 5 & -6 \ -1 & -4 & 4 \ -2 & -7 & 9 \end{bmatrix}$$ Task: define determinant and evaluate $A$ without expanding. A determinant is a scalar-valued function defined on square matrices that assigns to every square matrix a unique real number, denoted $\det(A)$ or

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