We have
A=⎛⎜⎝42−313−6−50−7⎞⎟⎠
∴A′=⎛⎜⎝41−5230−3−6−7⎞⎟⎠
Then
A+A′=⎛⎜⎝42−313−6−507⎞⎟⎠+⎛⎜⎝41−5230−3−6−7⎞⎟⎠=⎛⎜⎝83−836−6−8−60⎞⎟⎠....(1)
A−A′=⎛⎜⎝42−313−6−507⎞⎟⎠−⎛⎜⎝41−5230−3−6−7⎞⎟⎠=⎛⎜⎝012−10−6−2614⎞⎟⎠....(2)
Adding (1) and (2), we get
2A=⎛⎜⎝83−836−6−8−60⎞⎟⎠+⎛⎜⎝012−10−6−2614⎞⎟⎠
∴A=⎛⎜⎝43/2−43/23−3−4−30⎞⎟⎠+⎛⎜⎝01/21−1/20−3−137⎞⎟⎠