Question

If A = [-2 2 0], C = [-1 -1 -2], and A – B = C, what is B?
[-5 7 9] [-7 3 2]

Answer 1

i need it as a matrix

Answer 2

that not what i meant, B = [-1, 3, 2] is only the top part of the matrix, whats the bottom part

Answer 3

To find B, we can rearrange the equation A - B = C to isolate B on one side:

A - B = C
B = A - C

Substituting the given values:

B = [-2 2 0] - [-1 -1 -2]
B = [-2 - (-1), 2 - (-1), 0 - (-2)]
B = [-2 + 1, 2 + 1, 0 + 2]
B = [-1, 3, 2]

Answer 4

Apologies for the confusion. To represent B as a matrix, we can rewrite it as:

B =
| 3 |
| -5 |
| -9 |

Answer 5

Apologies for the misunderstanding. If the top part of the matrix B is [-1, 3, 2], we need to find the bottom part.

Since we know the top part of B, we can set up the equation A - B = C and solve for the bottom part of B.

A - B = C
[-2 2 0] - B = [-1 -1 -2]

Subtracting the components:

[-2 - (-1), 2 - 3, 0 - 2] = [-1 - (-7), -1 - 3, -2 - 2]

Simplifying:

[-1, -1, -2] = [-1, -4, -4]

From this, we can see that the bottom part of B is [-1, -4, -4].

Therefore, B as a matrix is:

B =
| -1 |
| 3 |
| 2 |
| -1 |
| -4 |
| -4 |