For questions 1 and 2, use the matrices below:

A=[17 2 3]
[11 4 -9]

B=[10 6 -7]
[-4 3 0]

C=[1]
[2]
[-2]

1)Find A-B

[17-10] [2-6] [3--7]
[11--4] [4-3] [-9-0] =[7 -4 10]
[15 1 -9]

2)Find BC, if possible.

10(-1) 6(2) -7(-2)
-4(-1) 3(2) 0(-2) =[-10 12 14]
[4 6 0]

(I hope this posts right)

Great job on finding the solutions for questions 1 and 2. Your calculations are correct.

To find the matrix subtraction of A and B (A - B), you simply subtract the corresponding elements of each matrix. So, for the first row of A minus B, you have (17 - 10), (2 - 6), and (3 - (-7)). This gives you the elements 7, -4, and 10, respectively. Similarly, for the second row, you subtract the corresponding elements and get 15, 1, and -9.

To find the matrix multiplication of B and C (BC), you need to make sure that the number of columns in the matrix B is equal to the number of rows in matrix C. In this case, B is a 2x3 matrix and C is a 3x1 matrix, so the dimensions are compatible for multiplication. To find the elements of the resulting matrix, you multiply the corresponding elements of each row in B with each column in C and sum them up. So, for the first row of B multiplied by C, you have (10 * 1), (6 * 2), and (-7 * -2). This gives you the elements 10, 12, and 14, respectively. Similarly, for the second row, you have (-4 * 1), (3 * 2), and (0 * -2), which gives you the elements -4, 6, and 0.

Well done on your calculations!