Answer:
4. D
5. D
Explanation:
To subtract Matrices, subtract the numbers that are in the same position.
You can only add or subtract Matrices that have the same order.
Here, both Matrix X and Y, are 2 by 2 matrices.
So let's subtract
![5 - 6 = - 1](https://img.qammunity.org/2023/formulas/mathematics/high-school/q22fiuypyth31kjb799fetno29fpwdxys7.png)
![- 4 - ( - 1) = - 3](https://img.qammunity.org/2023/formulas/mathematics/high-school/ad5v8zsgc53o25j6g4xr0noqlylt1opvk9.png)
![3 - ( - 7) = 10](https://img.qammunity.org/2023/formulas/mathematics/high-school/884qk7fhc4gs20rrvqawvjqx4m5dvf3b8s.png)
![- 2 - 4 = - 6](https://img.qammunity.org/2023/formulas/mathematics/high-school/gno0nzu9lhel7ocety3ca7vkytu320be1k.png)
The Matrix that matches that is D so the answer to 4 is D.
5. We do the same thing above, but we multiply by 2 first.
![5 - 2(6 ) = - 7](https://img.qammunity.org/2023/formulas/mathematics/high-school/6dgc1ri2m7pga6phhda3tngcg6t7rlafvr.png)
![- 4 - 2( - 1) = - 2](https://img.qammunity.org/2023/formulas/mathematics/high-school/w6rjmur3h6p5layc0yc711nxtirmlf77nx.png)
![3 - 2( - 7) = 17](https://img.qammunity.org/2023/formulas/mathematics/high-school/fqn38cq6ga1a3jf1ap9gnqj5fl5qbvu3vu.png)
![- 2 - 2( 4) = - 10](https://img.qammunity.org/2023/formulas/mathematics/high-school/pdh3q9gack4qiby351sxk0vawu6o0tbi77.png)
The answer here is D as well.