Multiplicative Property of Zero for Matrices
Read this topicExplanations 3
- The Multiplicative Property of Zero is very simple. If you have a matrix AAA of size m×nm\times nm×n then 0∗A=Om×n0*A=O_{m\times n}0∗A=Om×n. Example Let A=[123456]A=\begin{bmat…
By Alex Federspiel
- (Video) Multiplicative Property of Zero for Matrices by Anusha Rahman In this video, Anusha Rahman goes over the Multiplicative Property of Zero and provides an example of the p…
By Anusha Rahman
- Multiplicative Property of Zero: Matrices Similar to the zero property you learned previously, the multiplicative property of zero for matrices says that: For any given matrix, …
By Anusha Rahman
Problems 6
- Which property is the following, g(kA)=(gk)Ag(kA)=(gk)Ag(kA)=(gk)A
- Which property is the following, c(Am×n)=(cA)m×nc(A_{m\times n})=(cA)_{m\times n}c(Am×n)=(cA)m×n
- Which property is the following, c(A+B)=cA+cBc(A+B)=cA+cBc(A+B)=cA+cB
- Which property is the following, 0∗Am×n=Om×n0*A_{m\times n}=O_{m\times n}0∗Am×n=Om×n
- A matrix AAA is of an unknown size. When multiplying it by zero you get a zero matrix of size 6×16\times16×1. What is matrix AAA's original size?
- What does the matrix look like for 0∗A1×30*A_{1\times3}0∗A1×3?