Question

which expression represents the determinant of A= [-3 1 6 -6]

Answer 1

The determinant is represented by Option A  , det(A) = (–3)(–6) – (1)(6)

The missing options are

det(A) = (–3)(–6) – (1)(6)

det(A) = (–3)(–6) + (1)(6)

det(A) = (1)(6) – (–3)(–6)

det(A) = (–3)(–6) + (–1)(–6)

What is a Determinant ?

A determinant is a scalar value computed for a given square matrix .

The matrix A is

$\bigl(\begin{smallmatrix}-3 & 1\\ 6 & -6\end{smallmatrix}\bigr)$

To determine the determinant

$\bigl(\begin{smallmatrix}a & b\\ c & d\end{smallmatrix}\bigr)$

the determinant = ad -bc

so for A

det(A)= (-3) (-6) - (1) (6) = 18 - 6 = 12

The determinant is represented by Option A .

To know more about Determinant

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