Question

Consider matrices A and B.

A = 16 7 1
31), B = [ 33 % ]
If C = 3A - 4B, what is matrix C?
A) These two matrices cannot be subtracted.
B) 37
C) -27
D) -14
E) 4

Answer 1

Matrix C, calculated as 3A - 4B given matrices A = [16 7 3] and B = [3 3 3], results in C = [36 9 -3]. The provided options do not match this result.

Step-by-step explanation:

To find matrix C which is defined as C = 3A - 4B, first we need to multiply matrix A by 3 and matrix B by 4, and then subtract the second resultant matrix from the first.

Matrix A is 16 7 3 and Matrix B is 3 3 3. Multiplying A by 3, we get 3A = 48 21 9. Multiplying B by 4, we get 4B = 12 12 12.

Now we subtract 4B from 3A to get C:
C = 3A - 4B = (48 21 9) - (12 12 12).

Thus, we perform the subtraction element-wise:
C = (48 - 12) (21 - 12) (9 - 12) = 36 9 -3.

None of the provided answer options (A to E) match this result, so it seems there might've been an error in the provided options or in interpreting the question.