SOLUTION: what will be the determinant of |1 0 0 | |2 cos x sin x | |3 sin x cos x | a.1 b.0 c.cos 2x d.sin 2x

SOLUTION: what will be the determinant of |1 0 0 | |2 cos x sin x | |3 sin x cos x | a.1 b.0 c.cos 2x d.sin 2x

Algebra.Com

Question 1101917: what will be the determinant of
|1 0 0 |
|2 cos x sin x |
|3 sin x cos x |
a.1
b.0
c.cos 2x
d.sin 2x
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.

Apply co-factoring the determinant along the first row of the matrix, and you will get


determinant = cos^2(x) - sin^2(x) = cos(2x).

About co-factoring determinant see the lesson
- Co-factoring the determinant of a 3x3 matrix
in this site.

RELATED QUESTIONS
sin(A+B) = sin A cos B + cos A sin B cos(A+B) =... (answered by vleith)

Hi, I have the following answer;... (answered by ewatrrr)

Solve the equation for x, on the interval 0 is less than or equal to x and 2pi is greater (answered by Alan3354)

what is the solution set of all angles in [0,2pi) 4 cos^2x-3=0 5 sec^2x-20=0 (answered by stanbon)

Solve the following equations on the interal (0,2π) Exact solutions. a. Cos�x=1/4... (answered by Boreal)

Factor completely: sin^3(x) + cos^3(x) Select one: a. (sin(x) + cos(x))(sin^2(x) -... (answered by Alan3354)

cos x (sin x -1) = 0 (answered by amarjeeth123)

Solve on the interval [0, 2pi] Sin*2x - sin x + 1=... (answered by lwsshak3)

sin^2x ? 1-cos... (answered by Alan3354)