Let `A=[{:(3,5," "4),(1,2,-3):}]" and "O=[{:(0,0,0),(0,0,0):}]`, then verify that `A+O=O+A=A.`

Let `A=[{:(3,5," "4),(1,2,-3):}]" and "O=[{:(0,0,0),(0,0,0):}]`, then

1.	Let `A=[{:(3,5," "4),(1,2,-3):}]" and "O=[{:(0,0,0),(0,0,0):}]`, then verify that `A+O=O+A=A.`
Answer» Clearly, each one of A and O is a matrix of order `(2xx3).` So, `(A+O)` and `(O+A)` are both defined. Now, `A+O=[{:(3,5,4),(1,2,-3):}]+[{:(0,0,0),(0,0,0):}]` `=[{:(3+0,5+0,4+0),(1+0,2+0,-3+0):}]+[{:(3,5,4),(1,2,-3):}]=A.` And, `O+A=[{:(0,0,0),(0,0,0):}]+[{:(3,5,4),(1,2,-3):}]` `=[{:(0+3,0+5,0+4),(0+1,0+2,0+(-3)):}]=[{:(3,5,4),(1,2,-3):}]=A.` Hence, `A+O=O+A=A.`

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Let `A=[{:(3,5," "4),(1,2,-3):}]" and "O=[{:(0,0,0),(0,0,0):}]`, then verify that `A+O=O+A=A.`

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