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 ] B + 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 ] B + D
Solution Summary: The author calculates the matrix for the operation B+D of 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
Suppose A and B are both 3 × 2 matrices. Which algebraic operations and procedures apply to
these matrices and which cannot be done?
Perform the following operation:
1- a
-5 4 3]
a
1+a
-3 1 4
-a
- 188 )
Note: The entries in the resulting matrix are functions of a.
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