For Exercises 27-32, add or subtract the given matrices if possible. (See Example 3) A = [ 6 − 1 7 1 2 2 2 ] B = [ − 9 2 6.2 2 1 3 8 ] C = [ 11 4 1 − 1 3 1 6 ] D = [ 2 3 8 − 1 6 1 6 ] C + D
For Exercises 27-32, add or subtract the given matrices if possible. (See Example 3) A = [ 6 − 1 7 1 2 2 2 ] B = [ − 9 2 6.2 2 1 3 8 ] C = [ 11 4 1 − 1 3 1 6 ] D = [ 2 3 8 − 1 6 1 6 ] C + D
Solution Summary: The author calculates the matrix for the operation C+D to the given matrices.
Explain why each of the following algebraic rules will not work in general when the real numbers a and b are replaced by n × n matrices A and B. (a) (a + b)2 = a2 + 2ab + b2 (b) (a + b)(a − b) = a2 − b2
Given the following matrices, find and simplify (C+ A)B. You may want to look at page 121 in the notes (video 92).
[6
A =
f4
B = 2
-1
-2
C =
c-
-5
1.
-3.
13
A. Product not defined
[50
O B. 10
-4
4x - 6
8
2x + 12
L63
-20
3x - 30.
50
C.
10
63
8.
l4x - 6 2x + 12 3x - 30l
-4
-20
-2
O D.3x +44
15x + 11
-16
[3x + 44 5x + 11
O E.
-2
-16
Suppose A and B are both 3 × 2 matrices. Which algebraic operations and procedures apply to
these matrices and which cannot be done?
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