THE MATRICES Matrices can be operated using various mathematical operations, such as addition, subtraction, multiplication, and division. The specific operation used depends on the desired outcome and the properties of the matrices being operated on. Here are some examples of how matrices can be operated: Addition and Subtraction: To add or subtract two matrices A and B, they must have the same dimensions. In other words, they must have the same number of rows and columns. To add or subtract them, we simply add or subtract the corresponding elements of the matrices. For example, given two matrices A and B: Scalar Multiplication: To multiply a matrix A by a scalar k, we simply multiply each element of A by k. For example: Matrix Multiplication: To multiply two matrices A and B, the number of columns in A must equal the number of rows in B. The resulting matrix C has the same number of rows as A and the same number of columns as B. The elements of C are calculated by taking the ...
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