Question

How to find the degree of the determinant of abcd

Answer 1

Concept:

Determinants are the scalar quantities obtained by the sum of products of the weather of a matrix and their cofactors per a prescribed rule.

Given:

The given determinant is $\left|\begin{array}{ll}a&b\\ c&d\end{array}\right|$.

Find:

We have to seek out the given determinant.

Solution:

A polynomial's degree is that the highest or the best power of a variable in an exceedingly polynomial equation.

We will solve it by Expanding the determinant then checking the degree of the polynomial.

$\left|\begin{array}{ll}a&b\\c&d\end{array}\right|=ad-bc$

Now, we'll find the degree of $ad$ and $bc$ one by one, we get

Degree of $ad$ is $1+1=2$.

Degree of $bc$ is $1+1=2$

Hence, highest power determinant is $2$.

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