Find x if it is given that :

Engineering

Mathematics

Introduction to Determinants

Question

\det [\begin{array}{lll} 2 & 0 & 0 \\ 4 & 3 & 0 \\ 4 & 6 & x \end{array}] = 42

$6$

$7$

$8$

$21 / 4$

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Given $\det [\begin{array}{lll} 2 & 0 & 0 \\ 4 & 3 & 0 \\ 4 & 6 & x \end{array}] = 42$
By operation of matrix (5)
x(6) = 42
⇒ x = 7