If the determinant of a 5x5 matrix A is det(A) = -8, and the matrix C is obtained from A by swapping the second and third rows, then det(C) = If the determinant of a 5x5 matrix is det(A) = 9, and the matrix D is obtained from A by adding 2 times the
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How to find the determinant of this 5x5 matrix? I can't put it in Lower or Upper Triangular form so I'm confused. I dont really know how to use laplace expansion
[30030−30−2000−100−3000330−1200]
I tried to get all 0's in the diagonal and i then deleted row 1 column 1 so that i now have a 4x4 matrix so i did
R2=R1+R2 then I did R4=R2−R4 then I got 3[0−230−100−30−20−3−1200] = 3(−1)(−2)(2)(−1)+3(−2)(3)(−3)(−3)=−498but i did R2−R4 so i divided by a factor of -1 and got det(A)=−498/−1=498 which was still incorrect
[30030−30−2000−100−3000330−1200]
I tried to get all 0's in the diagonal and i then deleted row 1 column 1 so that i now have a 4x4 matrix so i did
R2=R1+R2 then I did R4=R2−R4 then I got 3[0−230−100−30−20−3−1200] = 3(−1)(−2)(2)(−1)+3(−2)(3)(−3)(−3)=−498but i did R2−R4 so i divided by a factor of -1 and got det(A)=−498/−1=498 which was still incorrect
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