Distributive Property of Scalar Multiplication for Matrices
Read this topicExplanations 2
- There are two cases for the distributive property. For the first, let ppp and qqq be scalars and let AAA be a matrix. Then (p+q)A=pA+qA(p+q)A=pA+qA(p+q)A=pA+qA. For the second c…
By Alex Federspiel, Caroline K, Gabi Slizewska
- (Video) Distributive Property of Matrix by Arinjay Academy This video by Arinjay Academy proves how we can use the distributive property when dealing with matrices. Summary Prov…
By Anusha Rahman
Problems 7
- 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
- Solve 4[676792922]+4[774131275]\\4\begin{bmatrix}6&7&6\\7&9&2\\9&2&2\end{bmatrix}+4\begin{bmatrix}7&7&4\\1&3&1\\2&7&5\end{bmatrix}4679792622+4712737415
- Solve 9[12410810031]+91[12410810031]\\9\begin{bmatrix}1&2&4\\10&8&10\\0&3&1\end{bmatrix}+91\begin{bmatrix}1&2&4\\10&8&10\\0&3&1\end{bmatrix}911002834101+9111002834101
- Solve for AAA 2A+4A=[901024278186]\\2A+4A=\begin{bmatrix}90&102&42\\78&18&6\end{bmatrix}2A+4A=[907810218426]
- Which property is the following, 0∗Am×n=Om×n0*A_{m\times n}=O_{m\times n}0∗Am×n=Om×n