4. [9 points] Assume that B, C, E are all 3 x 3 matrices such that BC == -64 -1 0 3 4 4 4 -2 2 CB=-1-2 4 BE -2 1 3 EC = 1 3 2 -7, 1 6 -6 2-5 -7 -2 Explicitly compute the following by hand. (I.e., write out the entries of the 3 × 3 matrix.) (a) [3 points] B(E+C) (b) [3 points] (E+B)C (c) [3 points] ETBT

Elementary Linear Algebra (MindTap Course List)
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Chapter2: Matrices
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4. [9 points] Assume that B, C, E are all 3 x 3 matrices such that
BC ==
-64
-1 0 3
4
4 4
-2
2
CB=-1-2
4
BE
-2 1 3
EC =
1
3 2 -7,
1
6
-6
2-5 -7
-2
Explicitly compute the following by hand. (I.e., write out the entries of the 3 × 3
matrix.)
(a) [3 points] B(E+C)
(b) [3 points] (E+B)C
(c) [3 points] ETBT
Transcribed Image Text:4. [9 points] Assume that B, C, E are all 3 x 3 matrices such that BC == -64 -1 0 3 4 4 4 -2 2 CB=-1-2 4 BE -2 1 3 EC = 1 3 2 -7, 1 6 -6 2-5 -7 -2 Explicitly compute the following by hand. (I.e., write out the entries of the 3 × 3 matrix.) (a) [3 points] B(E+C) (b) [3 points] (E+B)C (c) [3 points] ETBT
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