Question

Find the determinant for the 3 by 3 matrix given. Consider the determinant.

Answer 1

Answer:

The determinant of the matrix given is -49

Step-by-step explanation:

We are given determinant $\left|\begin{array}{ccc}4&2&-1\\3&0&4\\-3&1&1\end{array}\right|$

The determinant can be found as follows

$4\left|\begin{array}{cc}0&4\\1&1\\\end{array}\right|-2\left|\begin{array}{cc}3&4\\-3&1\\\end{array}\right|-1\left|\begin{array}{cc}3&0\\-3&1\\\end{array}\right|$

Now solving:

$4(0-4)-2(3+12)-1(3+0)\\=4(-4)-2(15)-1(3)\\=-16-30-3\\=-49$

So, determinant of the matrix given is -49