Assume that (U)=110, n(B′)=55, n(A∩B′)=25, and n(A∩B)=27. Find n(A∪B)

Q: If v = 5i + 4j and w = 6i - 9j, find 4v - 2w.

A:

Q: ede 02 and A= a3 then %3D Suppose e Oba, -0 Oca, -1 Od a--4

A:

Q: Given the universal set U = {x|xel, -10 <x<10 } A = {-2, -1, 0, 1, 2, 3 } B = { 2, 3, 4, 5, 6, 7} C=…

A:

Q: Let a = – 4i – 5j and b – 7i + 3j. Find a - b

A: we have  a→=-4i→-5j→ and b→=-7i→+3j→

Q: Simplify (ex)5 . e(7x + 6) to the form eA x + B) = eC. eDX where %3D A = B = C = D =

A:

Q: (1 + 1)e dr 5.

A:

Q: В. Is (D+1) (D+æ) eª = (D+x) (D+1) e" ? Explain %3D

A:

Q: If n(A) = 104, n(A U B) = 141, and n(A n B) = 42, find n(B).

A:

Q: (Z7, e).

A: Addition Modulo n Let n be positive integer greater than one and a, b , where Z= {0, 1, 2, ……., n-1}…

Q: If A = 3j + 2k, B = 2i – 2j – 2k then Ax B

A: Use cross product of vector

Q: Find (a) u × v, (b) v × u, and (c) v × v. u = (3, −2, 4), v = (1, 5, −3)

A:

Q: 2a - 5y dA, R =(-5,4] x [0, 3] R.

A:

Q: If n(A) = 108, n(A U B) = 142, and n(AB) = 42, find n(B).

A: and .We have to find: .

Q: If n(A U B) = 92 and n(A) = n(B) = 64, find n(A n B).

A:

Q: Find the J(2x + 1)³ dx

A:

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.