Find the determinant of the 2x2 matrix (A = begin{pmatrix} 3 & 4 5 & 6 end{pmatrix}).

Question

Find the determinant of the 2x2 matrix (A = begin{pmatrix} 3 & 4  5 & 6 end{pmatrix}).

Accepted Answer

Step:1 ：The determinant of a 2x2 matrix (A = begin{pmatrix} a & b  c & d end{pmatrix}) is given by (ad - bc).Step:2 ：Substituting the values from the matrix into the formula, we get (3*6 - 4*5).Step:3 ：Solving the equation gives (18 - 20 = -2).

Answer

Step: 1 ：The determinant of a 2x2 matrix (A = begin{pmatrix} a & b  c & d end{pmatrix}) is given by (ad - bc).Step: 2 ：Substituting the values from the matrix into the formula, we get (3*6 - 4*5).Step: 3 ：Solving the equation gives (18 - 20 = -2).

Find the determinant of the 2x2 matrix \(A = \begin{pmatrix} 3 & 4 \\ 5 & 6 \end{pmatrix}\).

Answer

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