Question

Create following two matrices A and B with following elements.

equation

Write R commands to do the following tasks:

(i) Multiply the two matrices.

(ii) Combine the two matrices row-wise.

(iii) Create a function that computes the following expression:

equation

29 Apr 2025
Answer :
Word Count : 231
A = $\begin{pmatrix}1 & 2\\0 & 1\end{pmatrix}$, B = $\begin{pmatrix}-3 & 1\\2 & -1\end{pmatrix}$ (i) Multiply A and B: $$ A \cdot B = \begin{pmatrix}1 & 2\\0 & 1\end{pmatrix} \begin{pmatrix}-3 & 1\\2 & -1\end{pmatrix} = \begin{pmatrix}(1)(-3) + (2)(2) & (1)(1) + (2)(-1)\\ (0)(-3) + (1)(2) & (0)(1) + (1)(-1)\end{pmatrix} = \begin{pmatrix}-3 + 4 & 1 - 2\\ ____ _______ _____ __________ ___ ______ ____.
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