Question

determinant
find

3/4 5
1/5 4


​

Answer 1

Find the determinant of the given matrix

Definition:

The determinant of a matrix is the signed factor by which areas are scaled by this matrix.If the sign is negative the matrix reverses orientation.

Step-by-step explanation:

The determinant of the given matrix is found by,

[tex]\left[\begin{array}{ccc}3/4&5\\1/5&4\\\end{array}\right] \\ =(\frac{3}{4}*4)-(5*\frac{1}{5})\\ =3-1\\ =2[/tex]

Therefore,the determinant of the given matrix is 2.