A good answer might be:

( 2, -2 )T + ( 8,  6 )T = ( 10, 4 )T

Three Separate Problems

The matrices you add must be of the same dimension and same row or column type. When you add matrices, each dimension is handled independently of the others. For example, in adding two 3D column matrices, you have three separate additions using ordinary arithmetic. The first elements of the operand matrices are added together to make the first element of the result matrix.

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Use the applet to play with matrix addition. Type a number into one of the boxes, hit enter, and observe the result. Make up a few easy problems for yourself, such as: "enter numbers into the first matrix so that each element of the result matrix is zero." Or, "if each element in the second matrix is zero, what will the result matrix look like?"


QUESTION 4:

Do the following two problems:

( 8,  4, 6 )T + ( 2, -2, 9 )T = 

( 2, -2, 9 )T + ( 8,  4, 6 )T =