Question

(help)Calculate the value for each determinant:

Answer 1

9514 1404 393

Answer:

• 9, -12
• -48, 0
• 17, 1

Explanation:

Your calculator can do this, but it's probably faster to do it in your head.

`\left|\begin{array}{cc}a&b\\c&d\end{array}\right|=ad-cb`

__

`\left|\begin{array}{cc}3&-1\\-3&4\end{array}\right|=(3)(4)-(-3)(-1)=9\\\\ \\\left|\begin{array}{cc}8&-1\\-4&-1\end{array}\right|=(8)(-1)-(-4)(-1)=-12`

And the next two rows are ...

(-12)(5) -(12)(-1) = -48 — (2)(-1) -(2)(-1) = 0

(0)(4) -(17)(-1) = 17 — (1)(1) -(0)(0) = 1