Closure Property of Scalar Multiplication for Matrices
Read this topicExplanations 3
- The closure property for scalar multiplication is very simple. It just states that if you have a scalar (a real number) ccc and a matrix AAA that is size m×nm\times nm×n, then w…
By Alex Federspiel
- The Closure Property of Matrix Scalar Multiplication In this lesson, we will learn about the Closure Property of Matrix Scalar Multiplication. For all scalar quantities that are…
By Anusha Rahman
- (Video) Closure Property by Anusha Rahman In this video by Anusha Rahman, you will learn about the closure property of scalar multiplication of matrices. Summary The Closure Pro…
By Anusha Rahman
Problems 9
- A matrix AAA is of size 12×412\times412×4. It is multiplied by 4 scalars. What is the size of the new matrix?
- A matrix AAA has an unknown size. But you know when multiplied by the scalar 777 the new matrix is of size 49×2849\times2849×28. What was the size of the original matrix AAA?
- Solve. 3∗[2529−26−562]\\3*\begin{bmatrix}2&5&2\\9&-2&6\\-5&6&2\end{bmatrix}3∗29−55−26262
- Solve for ccc. c∗[−6−6−10521810]==[9915−152−3−32−12−15]c*\begin{bmatrix}-6&-6&-10&5\\2&1&8&10\end{bmatrix}=\\=\begin{bmatrix}9&9&15&-\frac{15}{2}\\-3&-\frac32&-12&-15\end{bmatri…
- True or False\text{True or False}True or False === If AAA is a matrix then A+(−A)=0∗AA+(-A)=0*AA+(−A)=0∗A.
- 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