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## Main Question or Discussion Point

Howdy,

I got down Cramer's rule down fine, now I need to extend it to include equations that have complex coefficients. Do I let each matrix entry be something like, "5 + 2i" or is there something more than that?

For example,

say we have

(2+3i)x + (5+3i)y + (9-6i)z = 10 + i

(4+3i)x + (5-3i)y + (9-6i)z = 5 + i

(6+2i)x + (4+3i)y + (5+6i)z = 10 + 2i

Perhaps I let each entry be just the coefficient infront of x, y and z?

I got down Cramer's rule down fine, now I need to extend it to include equations that have complex coefficients. Do I let each matrix entry be something like, "5 + 2i" or is there something more than that?

For example,

say we have

(2+3i)x + (5+3i)y + (9-6i)z = 10 + i

(4+3i)x + (5-3i)y + (9-6i)z = 5 + i

(6+2i)x + (4+3i)y + (5+6i)z = 10 + 2i

Perhaps I let each entry be just the coefficient infront of x, y and z?