A = [1 2 5 3 8]
[3 6 11 6 20]
[1 3 6 0 16]
[6 12 23 12 40]
[5 11 22 9 40]
Hi there i'm really struggling to find the determinant of this matrix using row operations
I assume that the lattice method is Sarrus' rule ?
Repeat the first two columns :
Now multiply the red numbers together, multiply the green numbers together, multiply the blue numbers together and add these three products. Let's call the result .
Same thing : multiply together the numbers of the same color (except black ) and add the three products. Again, let's call the result .
As , the determinant is given by .
Hope that helps.