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### Course: Linear algebra>Unit 2

Lesson 6: More determinant depth

# (correction) scalar multiplication of row

Correction of last video showing that the determinant when one row is multiplied by a scalar is equal to the scalar times the determinant. Created by Sal Khan.

## Want to join the conversation?

• Good job making a correction. Unfortunatly you made another error this time: You forgot the signs, (-1)^(i+j), on every term after the first. Maybe it's because you confused some definitions, because in my material the determinant is defined as: det(A)=a_11*A_11+...+a_1n*A_1n where A_ij=(-1)^(i+j)*det(M(A)_ij) where M(A)_ij is the ij-minor of A. Is the definition Sal uses the most common or does it differ from country to country? :O
• I don't think an answer after such a long time would do you any good, however, I can assure you that it's the same in all the countries where determinants is taught. :)