Answer the following with respect to matrix addition.

MATHEMATICS · Multi-part · CBSE · Mathematics · Matrices · Matrices

Problem

Answer the following with respect to matrix addition. (i) Define the addition of two matrices of the same order. (ii) State any two fundamental properties of matrix addition. (iii) Let A=[1234],  B=[−2051],  C=[4−302].A=\begin{bmatrix}1&2\\3&4\end{bmatrix},\; B=\begin{bmatrix}-2&0\\5&1\end{bmatrix},\; C=\begin{bmatrix}4&-3\\0&2\end{bmatrix}. Verify that matrix addition is associative by showing that (A+B)+C=A+(B+C)(A+B)+C=A+(B+C) for the above matrices.

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