Prove each theorem using 3x3 determinant.
Posted: Wed May 11, 2022 9:28 pm
Prove each theorem using 3x3 determinant.
Theorem 4: If all elements in any row (or column) are multiplied by a number, the determinant is also multiplied by this number. Theorem 5: If any two rows (or columns) are the same or proportional, the determinant is zero. Theorem 6: If we express the elements of each row (or columns) as the sum of two terms, then the determinant can be expressed as the sum of two determinants having the same order.
Theorem 4: If all elements in any row (or column) are multiplied by a number, the determinant is also multiplied by this number. Theorem 5: If any two rows (or columns) are the same or proportional, the determinant is zero. Theorem 6: If we express the elements of each row (or columns) as the sum of two terms, then the determinant can be expressed as the sum of two determinants having the same order.