Question 10.2.2: Adding Matrices Let A = [-2 3 4 -1 0 2], B = [6 4 -7 9 8 -5]...

Adding Matrices

Let A=\left[\begin{array}{rr}-2 & 3 \\4 & -1 \\0 & 2\end{array}\right], B=\left[\begin{array}{rr}6 & 4 \\-7 & 9 \\8 & -5\end{array}\right] \text {, and } C=\left[\begin{array}{ll}1 & 2 \\3 & 4\end{array}\right]. Find each sum if possible.

a. A + B                  b. A + C

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a. Because A and B have the same order, A + B is defined. We have

A+B=\left[\begin{array}{rr}-2 & 3 \\4 & -1 \\0 & 2\end{array}\right]+\left[\begin{array}{rr}6 & 4 \\-7 & 9 \\8 & -5\end{array}\right]=\left[\begin{array}{rr}-2+6 & 3+4 \\4-7 & -1+9 \\0+8 & 2-5\end{array}\right]=\left[\begin{array}{rr}4 & 7 \\-3 & 8 \\8 & -3\end{array}\right].

b. A + C is not defined because A and C do not have the same order.

a

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