If A = diag (1, 2, 3),

Question:

If $A=\operatorname{diag}(1,2,3)$, then $|A|=$_______

Solution:

Given: $A=\operatorname{diag}(1,2,3)$

If $A=\operatorname{diag}(a, b, c)$, then $|A|=a \times b \times c$.

Thus, if $A=\operatorname{diag}(1,2,3)$, then $|A|=1 \times 2 \times 3=6$.

Hence, $|A|=\underline{6}$.

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