8. We know that P₁= P2 on B3 if P₁ = P2 on C, provided that C generates B and is a 7-system. Show this last property cannot be omitted. For example, consider 2 (a, b, c, d) with = 1 P₁({a})= P₁({d})= P₂({b})= P₂({c})= and 1 P₁{{b}) = P₁({c}) = P₂{{a}}) = P2({d}) = 3. Set C= {(a, b), (d, c), (a, c}, {b, d}}.

Q: Suppose that AB C, where A is 3x4 and C is 3x2. Then B must be 4 To find the entry c21 of C = AB,…

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Q: (2 3. Let A = G) and B = (; ). Compute and compare: %3D a. Det(A + B), det(A) + det(B). b. det(3A),3…

A: We have A=2-135 and B=1211 Part(a) Now if we have a matrix M=abcd, then, detM=abcd=ad-bc Therefore,…

Q: (7- 8)2 | /8-ん (e-)」ade-)|I/8-ん Hence, 2By < 1, (7 – 6)2 vhich can be written as |a(y – 8) + 3||y –…

A: I have only deducted the green part as per your request.

Q: 3. Let A be a 2 x 3 matrix, B a 3 × 4 matrix, and C a 4 x 5 matrix. The triple product ABC can be…

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Q: 6. (6x – 15)' (2r+ 1)

A: To find x ?

Q: (13) Find two different complete systems of residues modulo 8.

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Q: [3x + 8y = 13 |5x – 3y = 11 11. Which of the following could be used to find x in this system? C) |3…

A: We have to use Cramer's Rule to find result.

Q: Assume that n(U)=90n(U)=90, n(A)=41n(A)=41, n(B′)=50n(B′)=50, and n(A∪B)=63n(A∪B)=63. Find n(A∩B)

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Q: 7. Suppose E is a 2 x 2 matrix which subtracts 3 times row 2 from row 1 and puts this answer into…

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Q: There are 2 countries, D and F. There are 2 products X and Y. Each country has only a single input…

A: Given: Countries to produce the goods. To find: 1) Find the hours 2) Cost of 1 unit of X in D. 3)…

Q: Suppose elimination takes A to U without row exchanges. Then row j of U is a combination of which…

A: Given that, elimination takes A to U without row exchanges. So, current row is a combination of the…

Q: Find the form of yp to use in the method of undetermined coefficients y" -2y+3y=e³x + xex a.…

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