Question

NEED ANSWER ASAP !!!

Answer 1

The correct is last option

Explanation:

It is given that

D + | -1 -15 | = | 8 -4 |

| 0 7 | |-14 12 |

To find the value of D

We can write ,

D = | 8 -4 | - | -1 -15 |

|-14 12 | | 0 7 |

D = | (8 - -1) (-4 - -15) |

|(-14 - 0) (12 - 7) |

D = | (8 +1) (-4 +15) |

|(-14) (12 - 7) |

D = | 9 11 |

|-14 5 |

Therefore the correct answer is last option

Answer 2

`D = \left[\begin{array}{ccc}9&11\\-14&5\end{array}\right]`

Explanation:

To add two matrices you just need to add the corresponding entries together. In this case, we have that:

`D + \left[\begin{array}{ccc}-1&-15\\0&7\end{array}\right] = \left[\begin{array}{ccc}8&-4\\-14&-12\end{array}\right].`

Solving for D:

`D = \left[\begin{array}{ccc}8&-4\\-14&12\end{array}\right] - \left[\begin{array}{ccc}-1&-15\\-0&7\end{array}\right] = \left[\begin{array}{ccc}9&11\\-14&5\end{array}\right]`

Then, the solution is the fourth option.

`D=\left[\begin{array}{ccc}9&11\\-14&5\end{array}\right]`