Question
Asked Oct 29, 2019
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can u pls help with L of M and M of L, and show me how

Find the matrix representations for L, M, L o M, and M o L
1
ZOM
5
0
2
-(
M
0
3
1
1
3
2 1
1
3
-1 1.
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Find the matrix representations for L, M, L o M, and M o L 1 ZOM 5 0 2 -( M 0 3 1 1 3 2 1 1 3 -1 1.

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Expert Answer

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Step 1

The given matrices are:

0 2
1
0
1
L=0 3 -1 and M -1
1 3
3-1 1
-2 1 1
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0 2 1 0 1 L=0 3 -1 and M -1 1 3 3-1 1 -2 1 1

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Step 2

Now calculate ...

Го
1
0
2
5
1
LoM 0
3 -1 -1
1
3
-2
1
1
3
-1 1
1(1)+ о(3)+ 2(1)
1(0)+0(-1)+2(3)
0(0)+3(-1)(-1)(3) 0(5)+3(1)+(-1)(-1) 0(1)+3(3)+(-1)(1)
-2(0)+1-)+13)-2(5)+1(1)+(1)(-1) -2(1)+1(3)+(1)(1)
1(5)+0(1)+2-1)
6
3
3
-6
4
8
2
-10 2
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Го 1 0 2 5 1 LoM 0 3 -1 -1 1 3 -2 1 1 3 -1 1 1(1)+ о(3)+ 2(1) 1(0)+0(-1)+2(3) 0(0)+3(-1)(-1)(3) 0(5)+3(1)+(-1)(-1) 0(1)+3(3)+(-1)(1) -2(0)+1-)+13)-2(5)+1(1)+(1)(-1) -2(1)+1(3)+(1)(1) 1(5)+0(1)+2-1) 6 3 3 -6 4 8 2 -10 2

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