Find -3A+6B Matrices
Please help I don’t understand how to solve these with an equation (-3A+6B)
A = [-3, 5, -6, 9, -5, 3] B= [-2, 6, 7, 2, -1, -6]
To find -3A + 6B, we first need to multiply each matrix by its respective scalar value and then add the results together.
Given:
A = [-3, 5, -6, 9, -5, 3]
B = [-2, 6, 7, 2, -1, -6]
First, we calculate -3A:
-3A = [-3, 5, -6, 9, -5, 3] x -3
-3A = [9, -15, 18, -27, 15, -9]
Next, we calculate 6B:
6B = [-2, 6, 7, 2, -1, -6] x 6
6B = [-12, 36, 42, 12, -6, -36]
Now, we add -3A and 6B together to get the final result:
-3A + 6B = [9, -15, 18, -27, 15, -9] + [-12, 36, 42, 12, -6, -36]
-3A + 6B = [9 + (-12), -15 + 36, 18 + 42, -27 + 12, 15 + (-6), -9 + (-36)]
-3A + 6B = [-3, 21, 60, -15, 9, -45]
Therefore, the resulting matrix for -3A + 6B is:
[-3, 21, 60, -15, 9, -45]