Prove each theorem using 3x3 determinant.
Posted: Wed May 11, 2022 9:29 pm
Prove each theorem using 3x3 determinant.
Theorem 7: If we multiply the elements of any row (or column) by a given number and add to corresponding elements of any other row (or column), then the value of the determinant remains the same. Theorem 8: If A and B are square matrices of the same order, then det (AB) = det(a) det(B) = Theorem 9: The sum of the products of the elements of any row (or column) by the cofactors of another row (or column) is zero.
Theorem 7: If we multiply the elements of any row (or column) by a given number and add to corresponding elements of any other row (or column), then the value of the determinant remains the same. Theorem 8: If A and B are square matrices of the same order, then det (AB) = det(a) det(B) = Theorem 9: The sum of the products of the elements of any row (or column) by the cofactors of another row (or column) is zero.