What is the determinant of the matrix ?

Engineering

Mathematics

Introduction to Determinants

Question

What is the determinant of the matrix $[\begin{array}{cc} 3 & 6 \\ - 1 & 2 \end{array}]$ ?

|0|

|6|

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Given,
$[\begin{array}{cc} 3 & 6 \\ - 1 & 2 \end{array}]$
Let determinent be |d|
Value of |d| will be
|d| = 3 × 2 – (6 × – 1)
= 6 + 6 = 12

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