Question

What is the correct formula for the value of the determinant? la bl |c d|

Answer 1

Answer:

C. ad - cb

Explanation:

Answer 2

Answer:

$D = ab - cd$

Explanation:

Given

$\left[\begin{array}{cc}a&b\\c&d\end{array}\right]$

Required

Determine the determinant

Represent the determinant with D

Since the above matrices is 2 by 2.

All we have to do is to multiply the alternate elements of the columns

i.e. (a * d) and (b * c)

Then subtract:

$D = (a * d) - (b * c)$

Simplify

$D = (ad) - (bc)$

$D = ab - cd$