Determinants of Matrices (Edexcel A-Level Further Mathematics): Quizzes

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Determinants of Matrices
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What is det(3214)\text{det}\begin{pmatrix} 3 & 2 \\ 1 & 4 \end{pmatrix}?

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A matrix is singular when its determinant equals what value?

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What is the determinant of the identity matrix?

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A matrix is invertible if and only if its determinant is:

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What happens to the determinant when two rows are swapped?

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If a row is multiplied by scalar kk, the determinant is:

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Adding a multiple of one row to another does what to the determinant?

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For A=(2613)A = \begin{pmatrix} 2 & 6 \\ 1 & 3 \end{pmatrix}, is AA singular?

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Which notation represents the determinant of matrix AA?

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Determinants are used in which method for solving linear equations?

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