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Matrices and Determinants: Operations & Calculations

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MATRICES AND
DETERMINANTS
MATRIX OPERATIONS
CONSIDER THE FOLLOWING MATRICES:
8 3
𝐴= 2 1
5 6
1 5 4
𝐶=
2 3 0
0 2
𝐵= 4 9
1 3
2 4 6
𝐷=
1 3 5
Find:
1. A+B
2. A+C
3. C-D
4. B-D
5. 7A
6. 2D
7. A x C
8. B x D
9. 𝐴𝑇
10. 𝐷𝑇
Determinant and Inverse
of a Matrix
a. Find the determinant of Matrix A.
b. Find the determinant of Matrix B.
c. Find the determinant of Matrix C.
d. Find the determinant of Matrix D.
e. Find the determinant of Matrix E.
2 4
3 5
3 2 8
𝐵=
7 5 6
1 3 7
𝐶= 2 1 0
5 6 8
0 −4 −1
𝐷= 8
7
2
−3 5
3
𝐴=
2
𝐸= 0
0
−2
3
1
1
3
4
3
7
0
5
1
3
2
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