If gcd(a, b) = 1 and c | (a + b), then gcd(a, c) = 1 and gcd(b, c) = 1.

Q: Find AB such that [3 1 21 T-1 A = 2 1 2 and B =|4 [1 2 2] -2 -5]

A: The solution is given as

Q: et a =i- 2j + k and b= 2i+j +k. Show that la + b| s lal + b|

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Q: Let A 1 value of k. [23] A and B = 1 -7 217 k If AB = BA, find the

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Q: [3 5. Let A = and B = [, Find C = (AB)"

A: In the given matrix, A and matrix B  Apply matrix multiplication technique .

Q: If P(A) = 0.5, P(B)= 0.40 and P(A U B) = 0.70, find P(A/B) and P(A U B) where A is the complement of…

A: HERE GIVEN, p(A) = 0.5 p(B) = 0.40 p(A ∪ B) = 0.70

Q: a (1, 0, 1), b = (2, 1, −1) and c = (1, -1, 4). Calculate |ax (b+c)].

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Q: 2. Let A = 201-18 and /= 2 1 1 2 01 Find A(A+1).

A: A=[2 1      1 2]I=[1 0      0 1]

Q: Let_Z1 = 3 + i and Z2 = 5 + 2 i . Find 2 Z1 /( Z1 - Z2) - (14/5)-2 i O (14/5) + 2i O - (14 / 5) + (…

A: Topic = Complex number

Q: (b) Ax+By-12 0; x-intercept = -6; y-intercept = %3D %3D

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Q: As of a study conducted in France investigating the effectiveness of the drug mifepristone part (RU…

A: The random variable successfully terminated early pregnancies follows binomial distribution. The…

Q: Prove c (A + B) = cA + cB   (c + d)A = cA + dA   c(dA) = (cd)A  IA= A

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Q: B. (w +2wt) dt+ (4wt + 3t-w)dw

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Q: [AB, C] = A[B, C] + [A, C|B (Proof that)

A: simply & expand each one we get. [AB, C] = ABC - CABA[B,C] = A(BC - CB) = ABC - ACB[A,C]B = (AC…

Q: -1 31 -1 1,D = 3] 1.0 -6 -1 3 Let A = 3 B = C = 3 1 -2 1

A: Topic:- subtraction of matrix

Q: 1 -1 A = -1 2 -1 0 -1 1

A: Answer is in next step

Q: A car company wants to know the monthly sales made in ($000), based on the brand of vehicle. The…

A: d). The sample mean is given as 165. The sample standard deviation is 9.5. The sample size, n is 27.…

Q: Show that (AB)T and BTAT are equal.

A: Now,

Q: If P(A) = 0.52, P(B) = 0.45 and P(A u B) = 0.76, then P(B | A) = (Enter a number between 0 and 1,…

A: p(A)=0.52p(B)=0.45p(A∪B)=0.76p(B|A)=?

Q: 1. Find a b (a) a =, b = (b) a =, b = (c) a= 27 +3j - 4k, b = i-3j+k

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Q: Let x be a random variable that represents the level of glucose in the blood (milligrams per…

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Q: he following statement true or false? (Note that a true statement mus e.) The probability of Type I…

A: We have to state wheather statement is true or false.

Q: Find JA|, IB|, A + B, and |A + BỊ. Then verify that |A| + |B| # |A + B|. 15 0 1 -1 A = 1 -1 0 B = 5…

A: topic - determinant and matrices

Q: [2 1 2 3 and B := 5 Let A := 3 Find: (a) A +B (b) 3A – B

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Q: 3 4 10 find -5, 5 If A = and B -2

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Q: Suppose that P(A) = 0.3 and P(B) = 0.2 .(a) What does P(A u B) equal if 1. A and B are mutually…

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Q: which part is A(1) and which is A(2)?

A: Solution-: We have given x¯=64.2,n=46,s=27.9 Here, σ- is unknown so we use t-test We want to find…

Q: Prove the property a x b = -b x a of this theorem. Let a = (a₁, a2, a3) and b = (b₁, b2, b3). Then…

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