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To add or subtract matrices, which of the following must be true?
They are the same matrix
They have the same dimensions
Rows in the 1st matrix must have the same # of terms as the columns as the 2nd matrix
All matrices can be added
Find 2A-3B
-3 1
7 -1
1 0
1 -4
-4 0
6 -1
-14 -5
11 -3
A is a (4x33) matrix
B is a (33x1) matrix
What are the dimensions of the product of A times B?
find: B*A. Remember, ORDER MATTERS!
47 30
9 5
17 15
42 35
10 25
7 1
not possible because rows do not match columns
Evaluate the determinant of the matrix BY HAND.
-21
0
9
12
Find the determinant of the matrix BY HAND.
A
B
C
D
Calculate the determinant. You will need a calculator.
0
-15
-70
10
Determine if the matrix has an inverse, if so find it. It is to your advantage to know how to do this by hand AND by calculator.
No
0 1
-1 2
-1 3
1 -2
2 -1
-1 1
When solving for C in the equation CD=E using inverse matrices, you use the equation:
C=D-1E
C=ED-1
C=E-1D
C=DE-1
Use Cramer's Rule
A
B
Both A and B
Neither A nor B
Solve the following system using an augmented matrix. Use your calculator.
-3x + y = 4
-5x + 2y - 4z = -3
-x - 4y - 6z = 11
(2, -5, -3)
(2, -4, -4)
(2, -3, -5)
(-3, -5, 2)
Look at the problem on the half-sheet I gave you. Answer it fully. When you do, call me over and check it. I will give you the correct "answer" below if you get it right.
A
B
C
D
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