Question: In Example 6, find the matrix 2A. Data from Example 6 For the matrix A, where By combining the definitions for the addition of matrices

In Example 6, find the matrix −2A.


Data from Example 6

For the matrix A, where

A = -5 3 7 0 we have 2A = 2(-5) 2(7)


By combining the definitions for the addition of matrices and for the scalar multiplication of a matrix, we can define the subtraction of matrices. That is, the difference of matrices A and B is given by A − B = A + (−B). Therefore, we change the sign of each element of B, and proceed as in addition.

A = -5 3 7 0 we have 2A = 2(-5) 2(7) 2(3) 2(0) = -10 14 60

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