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Definition of a Determinant

The value of ...

Question

The value of the determinant of a matrix is

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Solution

The value of the determinant of a matrix can be any number depending on various conditions and value of its elements

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Q. A matrix A of order 3 × 3 has determinant 5. What is the value of |3A|?

Q. A matrix of order 3 × 3 has determinant 2. What is the value of |A (3I)|, where I is the identity matrix of order 3 × 3.

Q. The value of the determinant

∣ ∣ ∣ ∣ \begin{matrix} 1 + a 11 \end{matrix} \begin{matrix} 1 1 + a 1 \end{matrix} \begin{matrix} 11 1 + a \end{matrix} ∣ ∣ ∣ ∣

A = [\begin{matrix} 6 & 11 2 & 4 \end{matrix}],

then the value of determinant of

A^{2015} - 6 A^{2014}

A = [\begin{matrix} 5 & 6 3 & 4 \end{matrix}]

be a given matrix. The determinant value of

A^{2010} - 5 A^{2009}

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Definition of a Determinant

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