SOLUTION: Hi all, I'm having trouble finding the determinant of the following matrix A. Let Matrix A = (2 -1 3) (1 4 4) (1 0 2) Any help would be most appreciated. Thanks, -Nick.

Question 226376: Hi all, I'm having trouble finding the determinant of the following matrix A.
Let Matrix A =
(2 -1 3)
(1 4 4)
(1 0 2)
Any help would be most appreciated.
Thanks, -Nick.

Answer by mathmontrealmath(2) (Show Source): You can put this solution on YOUR website!
use the diagonal method, repeat the first two columns to the right of the matrix:
(2 -1 3)2 -1
(1 4 4)1 4
(1 0 2)1 0
then multiply numbers diagonally starting from the top left:
2.4.2-1.4.1+3.1.0
then - (multiply numbers diagonally starting from the bottom left)
1.4.3-0.4.2-2.1.(-1)
add these answers, you get the determinant value:
2.4.2-1.4.1+3.1.0 = 16-4+0=12
1.4.3-0.4.2-2.1.(-1)=12-0+2=14
add: 12+14=26
done

RELATED QUESTIONS
I am having trouble finding the determinant of the matrix [-1 2] [1 3] with the 1 and 3... (answered by venugopalramana,jim_thompson5910)

I am having trouble finding the determinant on a 4x4 matrix/Triangular Form. Please... (answered by stanbon)

find the determinant of the matrix A=(9 6 2 1 2 3 4 5... (answered by Alan3354)

Finding the determinant of the matrix, if it exists. [3/2 1] [-1... (answered by ikleyn)

Find the determinant of the matrix. Determine whether the matrix has an inverse, but... (answered by MathLover1,ikleyn)

I HAVING TROUBLE FINDING THE INVERSE OF THESE MATRIX. 2 3 3 5 1 -2 2 -5 (answered by Fombitz)

Hi all, I have a Matrix problem that I am not quite sure of how to solve. For the given... (answered by Alan3354)

What is the determinant of the following matrix? 3 1 -4 1 A. -13 B. 7 C. -1 D.... (answered by Alan3354,ikleyn)

Let A = 1 -2 -1 0 1 2 0 0 -1 A. Calculate the determinant of A. Does the... (answered by jim_thompson5910)