Linear Equations, whoever answers all of this gets ten points, if you have anything smart to say don't answer

Question

2. You are given the following system of linear equations:
3x – 2y + z = 2
-x + y = 3
-2y + 6z = -1
a. Provide a coefficient matrix corresponding to the system of linear equations.
b. What is the transpose of this matrix?
c. Find the determinant for this matrix.
3. Calculate the following for
a. A * B
b. -3A
c. A-1
4. Solve the following linear system for x using Cramer’s rule.
Show work.
4x - y + z = -5
2x + 2y + 3z = 10
5x – 2y + 6z = 1
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so sorry didn't notice a is 1 2 3
4 6 5
8 9 7
b is 1 3
4 6
3 2

1 2 3 A
4 5 6
8 9 7

1 3 B
4 6
3 2

Answer 1

2)
Coefficient matrix:
3 -2 1
-1 1 0
0 -2 6
Transpose (interchange rows and columns)
3 -1 0
2 1 -2
1 0 6
Determinant:
3[6-(-2)] +1 [12+2] +0[2-1]
=3(8)+14
=38

Answer 2

3.a. What is A? What is B?

Answer 3

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