- #1
John Creighto
- 495
- 2
I don´t have my linear algebra books with me and I forget how the distributive property of the determinate is proven. Can someone point me to a good link_
HallsofIvy said:What distributive property are you talking about? The distributive property is a(b+ c)= ab+ ac. Where are you putting the determinant in that? If you are thinking "det(b+ c)= det(b)+ det(c)", that's simply not true.
HallsofIvy said:Do you mean "Det(AB)= det(A)det(B)"? That's now what I would call "distributive".
You might look at
https://www.physicsforums.com/showthread.php?t=94344
HallsofIvy said:Yes, they do call it that! If find that very peculiar.
The distributive property of the determinate is a mathematical rule that allows you to expand expressions containing parentheses. It states that when multiplying a number by a sum or difference, you can multiply each term inside the parentheses separately and then add or subtract the products to get the final result.
To use the distributive property of the determinate, you first identify the number being multiplied by the parentheses. Then, you multiply that number by each term inside the parentheses separately. Finally, you add or subtract the resulting products to get the final answer.
Yes, the distributive property of the determinate can be used with both numbers and variables. When using it with variables, you simply treat the variable as you would any other number and multiply it by each term inside the parentheses.
The distributive property of the determinate is a specific rule that applies to expressions containing parentheses, while the distributive property of multiplication is a more general rule that applies to multiplying any two numbers. However, the two properties are closely related and can be used interchangeably in some cases.
The distributive property of the determinate is commonly used in algebraic equations and can be applied in various real-life situations, such as solving for unknown values in financial problems or calculating dimensions in construction projects. It is also used in computer programming and engineering to simplify complex equations and make calculations more efficient.